Question

The equation of a line is y = 1.5x − 2. What are its slope and y-intercept?

Answer 1

Answer:   The slope of the line is 1.5 and the y-intercept is -2.

Step-by-step explanation:  We are given that the equation of a straight line is as follows :

$y=1.5x-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find the slope and y-intercept of the given line.

We know that

the slope-intercept form of the equation of a straight line is given by

$y=mx+c,$ where m is the slope and c is the y-intercept of the line.

From equation (i), we have

$y=1.5x-2\\\\\Rightarrow y=1.5x+(-2).$

Comparing the above equation with the slope-intercept form, we get

slope, m = 1.5   and   y-intercept, c = -2.

Thus, the slope of the line is 1.5 and the y-intercept is -2.

Answer 2

Slope: 1.5
y-intercept: -2

Explanation:
The slope is the number attached to 'x' in the equation. In this case, 1.5 would be the slope because it's attached to x.

The y-intercept is the constant the number not attached to any variables. In this case, -2 is all by itself.

Hope that helps!

:D®