# Writing linear equations using the slope-intercept form.

Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Example 1: Writing an Equation Given the Slope and Y-Intercept.

An equation in the slope-intercept form is written as Where m is the slope of the line and b is the y-intercept. You can use this equation to write an equation if you know the slope and the y-intercept. What's Slope-Intercept Form of a Linear Equation? When you're learning about linear equations, you're bound to run into the point-slope form of a line. This form is quite useful in creating an equation of a line if you're given the slope and a point on the line. Answer to: Write the equation of a line in slope-intercept form passing through (3, 5) and (2, 9). By signing up, you'll get thousands of. Write the equation of the line through (4,7) and (6,13) Step 1: Find the slope (m). Use the formula to find the slope between the two points. Pick one of the points on the line and use the x and y values to find b. It does not matter which point you choose. We'll pick the first point (4. Step 3. In the slope-intercept form of a straight line, I have y, m, x, and b. They've given me the value for m, along with values for an x and a y. So the only thing I don't have so far is a value for is b (which gives me the y -intercept). How Do You Write an Equation of a Line in Slope-Intercept Form If You Have One Point and a Perpendicular Line? Want to find the slope-intercept form of a line when you're given a point on that line and another line perpendicular to that line? Remember, perpendicular lines have slopes that are opposite reciprocals of each other. To write a line in slope-intercept form, we use any information given about the line to find the slope and the y-intercept.Once we've found those, we plug the slope in for m and the y-intercept in. Remember, parallel lines have the same slope. If you can find the slope of that parallel line, you'll have the slope of your line! In this tutorial, you'll see how to find the slope of your line and use that slope, along with the given point, to write an equation for the line in slope-intercept form. Take a look! There are two conventional ways of writing the equation of a straight line: point-slope form and slope-intercept form. If you already have the point slope of the line, a little algebraic manipulation is all it takes to rewrite it in slope-intercept form. Write an equation in slope-intercept form for the graphed line. Working with the graph of a line? Trying to find the equation for that graph? Just pick two points on the line and use them to find the equation. This tutorial shows you how to take two points on the graph of a line and use them to find the slope-intercept form of the line! Write equations in slope intercept form when given various information. Learn with flashcards, games, and more — for free. In this video I'm going to do a bunch of examples of finding the equations of lines in slope-intercept form. Just as a bit of a review, that means equations of lines in the form of y is equal to mx plus b where m is the slope and b is the y-intercept.

## Writing linear equations using the slope-intercept form.

Slope-intercept form is useful when we know the y- intercept of a line. However, we are not always given this information. When we know the slope and one point which is not the y -intercept, we can write the equation in point-slope form. Equations in point-slope form look like this: where m is the slope of the line and (h, k) is a point on the.

Lawrence Perez, from Saddleback College, and his assistant Charlie, give this beginning-algebra lesson on writing lines in slope intercept form. M is the slope, and b is the y intercept. Lawrence Perez, from Saddleback College, and his assistant Charlie, give this beginning-algebra lesson on writing lines in slope intercept form. M is the slope.

When an equation of a line is written in slope-intercept form, the number in front of the x represents the slope. In this equation, there is a 3 in front of the x. This means the slope of the line is 3. The constant written at the end represents the y-intercept.

Because lines can go in any direction, the numbers in the equation are used to tell you what direction the line should go. There are two important numbers in this form of a line: one number represents the slope, and the other number represents the y-intercept.

The y-intercept is where the equation crosses the y-axis. Next, you use the slope to plot the next point on the line. If the slope is positive, then your line will be increasing from left to right. If the slope is negative, then your line will be decreasing from left to right.

This packet helps students practice using the slope-intercept form of the line. It includes problems ranging from finding the slope and the y-intercept of each line to graphing lines using the equation of the line in slope-intercept form. Each page starts with easier problems that get more difficult as students work through the packet.