Question

Find the equation of the line that has a y intercept of 2 that is parallel to the graph of the line 4x + 2y=8

Answer 1

Question#20698

Find the equation of the line that has a $y$ intercept of 2 that is parallel to the graph of the line $4x + 2y = 8$

Solution:

$$4x + 2y = 8$$

In slope intercept form:

$$y = -2x + 4$$

The equation of the line that is parallel to the given line is:

$$y = -2x + b$$

Such as the line has a $y$ intercept of 2:

$$2 = -2 * 0 + b, \ b = 2$$

Answer:

The equation of the line is:

$$y = -2x + 2$$