Question

How do you find a standard form equation for the line with (-9, -6) and is parallel to the line whose equation is 7x - 8y + 10 = 0?

Answer 1

The equation of the line is `y=7/8x+15/8`

Explanation:

The slope of the line`7x-8y+10=0 or 8y=7x+10 or y=7/8x+10/8`is `7/8`[Comparing with slope-intercept form of line `y=mx+c`]. So the slope of the parallal line is also `7/8:.`The equation of the line with`(-9,-6)` and having slope`7/8` is `y-y_1=m(x-x_1) or y+6=7/8(x+9) or or y=7/8x+63/8-6 or y=7/8x+15/8`[Ans]