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).

Answer:
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