Question

using the point-slope formula, what is the equation of the line that passes through the points (1, 5) and (0, 0)? a. y = x b. y = 5x c. y = 5x 10 d. y = 5x – 1

Answer 1

First we find the slope m as follows:
$m=\frac{y-y_{1}}{x-x_{1}}=\frac{5-0}{1-0}=5$
So the equation is of the form:
y = 5x + b
When x = 1, y = 5. Therefore b = 0.
So the equation is:
y = 5x