Question

write an equation in slope-intercept form for the line that satisfies each set of conditions. passes through (4,-10), parallel to y=(7/8)x-3​

Answer 1

y + 10 = 7/8(x - 4)

or

y = 7/8x -27/2

Explanation:

Parallel lines have the same slope. This enables that they never cross. The slope of the line y = 7/8x - 3 is 7/8. So the slope of the parallel line is also 7/8.

Substitute m = 7/8 and (4,-10) into the point slope form of the line:

y - -10 = 7/8 (x - 4)

y + 10 = 7/8(x - 4)

Simplify to get the equation in y = mx+b.

y + 10 = 7/8 x - 28/8

y + 10 = 7/8x -7/2

y = 7/8x -27/2