Answer:
y − 5 = 3(x − 1)
Step-by-step explanation:
1.Calculate the slope of the line.
The equation for the slope of a straight line is
m = (y₂ - y₁)/(x₂ - x₁)
The line passes through (0, 2) and (1, 5).
m = (5 - 2)/[1 - 0] = 3/1 = 3
The slope of the line is 3.
2. Identify the graph
A and B are wrong, because the coefficients of x are 13.
C is wrong, because the coefficient of x (the slope) is -3.
D is correct, because the coefficient of x is +3.
The equation that is graphed is y − 5 = 3(x − 1).
