What is the equation of a line in slope intercept form that is

Question

parallel to the line y=1/3x+5 and passes through (-9,5)?

Answer 1

Slope - intercept form line equation is y = mx + b, where m is slope and b is y - intercept.

 

The line equation is y  = (1/3)x + 5 and the point is (- 9, 5).

Comapare the line equation with slope - intercept form.

Slope (m) = 1/3.

 

Because the parallel lines have same slopes, the slope of parallel line through the point (- 9, 5) is 1/3.

Now the parallel line equation is y = (1/3)x + b.

 

Find the y - intercept by substituting the point in the parallel line equation say (x, y) = (- 9, 5).

5  = (1/3)(- 9) + b

b = 5 + 3

⇒ b = 8.

 

The parallel line equation is y = (1/3)x + 8.