Answer:
[tex]y=\frac{3}{4}x + 3[/tex]
Step-by-step explanation:
Parallel lines have the same slope. To find the slope, convert 3x-4y=7 into y=mx+b form.
3x - 4y = 7
-4y = 7 -3x
y= -7/4 + 3/4 x
The slope of the line is 3/4. Using this slope, substitute m=3/4 and the point (-4,-2) into the point slope form.
[tex]y-y_1=m(x-x_1)\\y--2=\frac{3}{4}(x--4)\\y+2=\frac{3}{4}(x+4)\\y=\frac{3}{4}x + 3[/tex]
