write the slope-intercept form of the equation of the line that passes through the point (-4,-1) and is parallel to the line y=3/4x-1

Respuesta :

Answer:

Step-by-step explanation:

Parallel lines have same slope.

y= mx + b

Slope = m  & b = y-intercept

y = 3/4 x - 1

m = 3/4 ;   (-4 , -1)

y - y1 = m(x - x1)

[tex]y - [-1]=\frac{3}{4}(x -[-4])\\\\y + 1 = \frac{3}{4}(x+4)\\\\y +1 = \frac{3}{4}*x + 4*\frac{3}{4}\\\\y + 1 = \frac{3}{4}x+3\\\\y =\frac{3}{4}x+3-1\\\\y =\frac{3}{4}x+2[/tex]