Find the equation of the line that passes through (4.-1.5) and is parallel to a line that passes through (0, 2) and (5, 4).

y = 2/5 x - 3.1

Step-by-step explanation:

Slope of the line passing through the points (0, 2) and (5, 4) = (4-2)/(5 - 0) = 2/5

Since required line is parallel to the line passing through the points (0, 2) and (5, 4).

Therefore, slope of required line (m) = 2/5

Required line passes through the point ( 4, - 1.5)

Therefore equation of line in slope point form is given as.

y - (-1.5) = m(x-4)

y + 1.5 = 2/5(x - 4)

5y + 7.5 = 2x - 8

5y = 2x - 8 - 7.5

5y = 2x - 15.5

y = 2/5 x - 3.1

2.83941151 would be the answer you're looking for! : )