Question

The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and has a y-intercept of 1?

Answer 1

Answer:

$y = - \frac{3}{2} x + 1$

Step-by-step explanation:

Slope -intercept form: y= mx +c, where m is the slope and c is the y-intercept.

Parallel lines have the same slope. Let's find the slope of the given line.

Given points: (-2, 0) and (0, -3)

$\boxed{slope = \frac{y1 - y2}{x1 - x2} }$

slope of given line

$= \frac{0 - ( - 3)}{ - 2 - 0}$

$= \frac{0 + 3}{ - 2}$

$= - \frac{3}{2}$

$y = - \frac{3}{2} x + c$

Given that the y- intercept is 1, c= 1.

$y = - \frac{3}{2} x + 1$