Question

What is the equation for the line in slope intercept form

Answer 1

y = -3x + 3

Explanation:

The slope-intercept form of a linear equation is: y = mx + b, where m = the slope of the line and b = the y-intercept. Using only a graph, you can find write the equation of a line a few different ways. You can find the y-intercept (where it crosses the y-axis), which in this case is at 3. Then, you can use rise/run to move down from the y-intercept and over to find the another point on the line such as (1,0). Moving down from (0, 3) to (1, 0) is down 3 and over 1 or -3/1.

Since slope =
`(rise)/(run)=(-3)/(1)` and the y-intercept = 3, the slope intercept form is:

y = -3x + 3