Find the equation of the line that passes through the point (-3,-5) and is parallel to the line y=-2/3x + 5/3 . Write the equation using the​ slope-intercept form.

Answer 1

Parallel lines have the same slope.

y=mx + b is slope intercept form: m is the slope, b is the intercept.

y = (-2/3)x + b is the equation of the new line. Plug in the given point to find the b, intercept.

Plug in (-3,-5) for (x,y)

-5 = (-2/3)*-3 + b

-5 =2 + b

-7 = b

The equation of the parallel line is y=(-2/3)x -7