Question

Decide if each equation is linear. If necessary, make a table to help you decide. If the equation is linear, identify the slope and the y-intercept.

Answer 1

From the problem, we have the equation :

$y=\frac{4}{5}x$

The equation is linear if x is a direct function of y in the form :

$y=kx$

Since the given equation is the same as the form of a direct variation, the equation is linear.

Note that in slope intercept form of a linear equation :

$y=mx+b$

m stands for the slope and b stands for the y-intercept

So we can say that the slope of the equation is m = 4/5 and the y-intercept is b = 0 since we dont have any constant in the equation.

ANSWER :

A. slope = 4/5 and y intercept is (0, 0)