Question 172824
Slope-intercept form:
y = mx + b
where
m is slope
b is y-intercept
.
Given the two points:
(-2,o) and (7,4)
You can determine the slope:
m = (y2-y1)/(x2-x1)
plugging in our values:
m = (4-0)/(7-(-2))
m = (4-0)/(7+2)
m = 4/9
.
Plug in the slope (above) and one of the two points given say, (-2,0) into the slope-intercept form to find 'b':
y = mx + b
0 = (4/9)(-2) + b
0 = -8/9 + b
b = 8/9
.
Now, that we know m and b:
y = mx + b
y = (4/9)x + (8/9)  (this is what they're looking for)