What’s the equation of a line That is parallel to y= -0.75x and that passes through the point (8,0

Answer 1

The line parallel to y = (-0.75)x and passes through (8,0)

Parallel lines have identical slopes. The slope of the original line is m = -0.75 because it is in y=mx+b form where m is the slope and b is the y-intercept.

Thus, the new line has a slope of -0.75 and passes through (8,0). This is the perfect time to use point-slope form because we have a point and a slope.

y - y₁ = m(x - x₁)

Where

(x₁, y₁) is the point the line passes

m is the slope

Once we plug in our point and slope values, we get

y - 0 = -0.75(x - 8)

y = -0.75x + 6

Answer 2

0 = -0.75(8) + b

0 = -6 + b

b = 6

y = -0.75x + 6