## anonymous one year ago What is the equation of the line in slope-intercept form? http://learn.flvs.net/webdav/assessment_images/educator_mjprealgebra_v16/mjprealgebra_segment2_test1_g5_c1.jpg

1. pooja195

2. freckles

agreed with @pooja195

3. anonymous

4. freckles

but an example assuming you are given a graph: we want slope-intercept form for: the line hits the y-axis at 3 ( this point is (0,3) and the line hits the x-axis at -1 (this point is : (-1,0) so to find the slope you do: $\frac{y_1-y_2}{x_1-x_2}=\frac{3-0}{0-(-1)}=\frac{3}{1}=3 \\ \text{ now we know the } y-intercept=3 \\ \text{ so this equation in slope-intercept form is } \\ y=mx+b \\ \text{ where } m=\frac{y_1-y_2}{x_1-x_2}=3 \text{ and } b=y-intercept=3 \\ \text{ so that is the final answer to my example} \\ y=3x+3 \\ \text{ checking...} \\ y=3(0)+3=3 \text{ good } \\ y=3(-1)+3=0 \text{ good }$

5. freckles

in your picture you can clearly identify the y-intercept and the x-intercept so proceed to finding the slope

6. anonymous

What is the equation of the line in slope-intercept form? y = 36x − 3 y = −3x + 36 y = −3x + 12 y = −12x + 3

7. freckles

have you found the slope yet?

8. freckles

and you really don't have to do any math on this one the choices given make the answer really obvious since the y-intercept is...

9. freckles

what number does your line hit on the y-axis?

10. freckles

whatever number you say (if you look at the right axis anyways) you can replace the b in: y=mx+b with it