Question

Find the equation of the line with a slope of −4/5and y-intercept at (0, 0).

A) y = -4/5 * x
B) y = -4/5 * x + 1
C) y = -4/5 * x - 1
D) y = -5/4 * x

Answer 1

The equation of a line with a slope of -4/5 and a y-intercept at (0, 0) is y = -4/5 * x, which corresponds to option A.

Correct option is A

Step-by-step explanation:

The question asks to find the equation of the line with a specific slope of −4/5 and passes through the origin, which is the point (0, 0). This is the y-intercept. A linear equation can be written in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. As the y-intercept is at the origin, b = 0.

Therefore, the equation with a slope of −4/5 and a y-intercept of 0 is y = −4/5 * x. So, the correct answer is A) y = −4/5 * x.