Question

Use the point and the slope to graph each line. Write the equation of the line. The line passes through point (2,-2) and is parallel to a line that has slope -1.

Answer 1

y= -x

Explanation:

slope- intercept form

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

Given that the slope is -1, m= -1.

Substitute m= -1 into the equation:

y= -x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 2, y= -2,

-2= -2 +c

c= -2 +2

c= 0

Thus, the equation of the line is y= -x.