Question

Write an equation in slope-intercept form for the line that passes through (3, 7) and is parallel to the line with equation y=3/4x-5

Answer 1

`y=(3x)/(4) +(19)/(4)`

Explanation:

Plug-in given to the point-slope form:

m = 3/4

(the slope is the same for the other line as the two are parallel to each other)

(3 , 7)

`y - 7 = (3)/(4) (x - 3)\\ y-7 = (3)/(4) x - (9)/(4) \\4( y-7) =( (3)/(4) x - (9)/(4))4\\ 4y - 28 = 3x - 9\\ 4y - 28 +28 = 3x - 9 + 28\\4y = 3x + 19\\(4y)/(4) =(3x+19)/(4) \\y=(3)/(4)x +(19)/(4)`