Question

Write in point-slope form the equation of the line that is parallel to the given line and passes through the given point.Your final answer should be in slope-intercept form.1. y= x+ 5, (-1, -1)

Answer 1

Answer:

$y = x$

Step-by-step explanation:

The given equation is

$y = x + 5$

The slope of this line

$m = 1$

Since all parallel lines have the same slope, the slope of our line is also m=1.

We now use the point-slope formula

$y-y_1=m(x-x_1)$

Since the line passes through (-1,-1)

We gave

$x_1=-1,y_1=-1$

We substitute the slope and point to get

$y - - 1 = 1(x - - 1)$

$y + 1 = x + 1$

$y = x$