Question

Write an equation in slope-intercept form for the line that is parallel to y=x−6 and that passes through the point (−5,−6).

Answer 1

Answer:

y = x - 1

• slope of 1, and y-intercept of (0, -1)

Step-by-step explanation:

Note: parallel lines have the same slope

Using the slope-intercept formula (y = mx + b - where m is the slpe and b is the y-intercept (when x = 0)) to determine the the slope and y-intercept of the equation:

y = x − 6

• slope of 1, and y-intercept of (0, -6)

Find the equation in slope-intercept form for the line that is parallel to y = x − 6 and that passes through the point (−5,−6):

y = x + b <== substitute -5 for x and -6 for y

-6 = -5 + b <== add 5 to both sides

+5  +5

-1 = b

Equation: y = x - 1

Check your answer using the point:

y = x - 1

-6 = -5 - 1

-6 = -6

This statement is correct

Hope this helps!