Question

Write an equation in slope-intercept form for the line that is parallel to y= -x -5 and contains the point ( 3 , − 2 ) .

Answer 1

Hello!

We need to know that if two lines are parallel, then their slopes must be equivalent. This means that the new equation has a slope of -1.

Also, to find the equation that contains the point (3, -2), we need to substitute that ordered pair with the original slope into the equation to find the y-intercept.

As a reminder, slope-intercept form is y = mx + b. In this equation, m is the slope and b is the y-intercept.

-2 = -1(3) + b

-2 = -3 + b (add 3 to both sides)

1 = b

Therefore, the equation of the line is y = -x + 1.