Answer:
y = 10x - 6
Step-by-step explanation:
If we know the function is linear then we can use any two coordinate pairs to find the slope of the line.
Note that the first pair is (0, -6) and the last pair is (4, 34). The 'run' is from x = 0 to x = 4, a 'run' of 4. The 'rise' is from -6 to34, a 'rise' of 40. Thus, the slope of this line is m = rise / run = 40/4 = 10.
Again using the coordinate pair (0, -6), along with the slope-intercept form of the equation of a straight line, we get:
-6 = 10(0) + b, so we know that b = - 6 and that the equation of this line must therefore be:
y = 10x - 6
