Answer:
y = 5x + 5
Step-by-step explanation:
Going from (-1, 0) to (0, 5), we see that x (the "run") increases by 1 and y (the "rise" increases by 5. Thus, the slope of the line connecting the two points is m = rise / run = 5/1, or just m = 5.
Let's use the slope-intercept form of the equation of a straight line:
y = mx + b
Substituting 5 for y, 0 for x and 5 for m, we get:
5 = 5(0) + b. Then b must be 5, and the equation of this line is
y = 5x + 5. This agrees with the fourth answer choice.
