Write the slope-intercept form of an equation of the line that passes through (2,-4) and (0,6)

Hey there!

In order to write the slope-intercept form, we have to have slope, and the y intercepts, just as it says in the name. In order to find slope with two points, we use our formula:

y2-y1/x2-x1 =
6-(-4)/0-2 = 6+4/-2 =
10/-2 = -5

Now that we know our slope is negative five, we can use one of those poins to model our slope intercept form, y= mx+b, using our slope, to solve for b, our y intercepts. We'll use (0,6).

We have:

6 = -2(0) + b
6 = 0 + b
6 = b

Now, since we have the slope and y intercept, we can write the equation:

y = -2x + 6

Hope this helps!