Write an equation in slope-intercept form of a line satisfying the set of conditions. Through (-6, -12), parallel to 7x - 8y = 22

Answer 1

Hello Joel.

Since that line will be parallel to 7x- 8y = 22; you need to find a slope of this line

7x- 8y = 22 (cancel 7x)

-8y = -7x +22 (cancel -8)

y = 7/8 x +22 so slope is 7/8.

since the line passes through (-6, -22) you can use point slope form

y - -22 = 7/8(x- -6)

y+22. =7/8(x+6)

y = 7/8 x +21/4 -22

y = 7/8 x - 67/4

hope that helps