Write an equation of the line - Show Work Please

Question

Parallel to y = -3x + 7

Y - intercept: 0

 

Equation needs to be in slope-interecept form

Answer 1

A line in slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept.

The line is parallel to y=−3x+7, so the slope of our new line is also −3 since parallel lines have the same slope

The y-intercept b is also given directly as b = 0.

By substituting m=−3 and b=0 into the slope-intercept form, we get the equation:

y=−3x+0

y=−3x

Answer 2

Slope-intercept form is y = mx + b

 

Parallel lines have equal slopes. 

 

Can you tell what the slope of y = -3x + 7 is, Crissel?

 

Once you determine that, you can formulate the equation of the line parallel to y = -3x + 7