Question

Write the equation in slope-intercept form for the line that passes through the given pointand is parallel to the given equation.2y = 2x - 4and passes through (-5, -1)

Answer 1

to find the slope of the line 2y = 2x - 4, you have to isolate y, as follows:

`\begin{gathered} 2y=2x-4 \\ y=(2x-4)/(2) \\ y=(2x)/(2)-(4)/(2) \\ y=x-2 \end{gathered}`

the slope is 1.

Two lines are parallel if they have the same slope.

slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

Replacing with m = 1 and point (-5, -1) into the equation, we get:

-1 = 1(-5) + b

-1 = -5 + b

-1 + 5 = b

4 = b

Then, the equation is:

y = x + 4