Question

Write the standard form of the equation of the line that passes through the point (-1, 3) and is parallel to the graph of 2x - 7y + 1 = 0.

Answer 1

take 2x-7y+1=0 and put it into slope intercept form(y=mx+b)
2x+1=7y
(2x+1)/7=y
y=(2/7)x+1/7, the slope would be 2/7 since it is parallel
then you put it into point slope form y-y1=m(x-x1)
y-3=2/7(x-(-1))
y-3=(2/7)x+2/7
y=(2/7)x+ 3 2/7
standard form is Ax+By+C=0
0=(2/7)x-y+3 2/7