Find the equation of the straight line that passes through t
Find the equation of the straight line that passes through the points (1, 8) and (3,4). show your workings
Is the line parallel to the line y = 1/2x + 4? Explain your answer.
Solution
Equation of straight line is given by:
(y - y1) = m1*(x - x1)
m1 = (y2 - y1)/(x2 - x1)
m1 = (8 - (-4))/(-1 - 3)
m1 = -3
Equation will be:
y - (-4) = -3*(x - 3)
y + 4 = -3x + 9
y + 3x = 5
two lines will be parallel, if their slope is equal,
Slope of givenline y = (1/2)*x + 4, is
m2 = 1/2
Since m1 and m2 are not equal, lines are not parallel.
