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.

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? Explai

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