Question

Write the slope intercept form equation of the line given in graph

Answer 1

y = 2/5x -2

Explanation:

First, establish two points. I'll use the intercepts for this problem.

(5, 0), (0, -2)

To find slope, divide change in y by change in x.

Change in y --> 0 - (-2) = 2

Change in x --> 5 - 0 = 5

Slope = 2/5

Next, find intercept.

Plug in slope for one of the points and find how you can make that equal to the y coordinate by adding/subtracting

0 · 2/5 + ? = -2

? = -2

y intercept = -2

Or if the line intercepts the y-axis at a definite point like this graph, just find where it intercepts.

Putting it Together

Now just put this into slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.

y = 2/5x - 2