Question

Solve the following problems:

find the equation of a line passing through (5,6) with gradient 2

find the equation of a line passing through (1,2) with gradient -1

find the equation of a line passing through (3,0) with gradient -3

find the equation of a line passing through (0,3) with gradient 2

find the equation of a line passing through (-2,-1) with gradient 1/2

find the equation of a line passing through (-3,2) with gradient 2/3

find the equation of a line passing through (-5,1) with gradient -2/3

find the equation of a line passing through (2,-5) with gradient -5/6

find the equation of a line passing through (1/2,-1/2) with gradient 1/4

Answer 1

Explanation:

You use the point/slope form of the equation of a straight line

y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line.

So for the first part its

y - 6 = 2(x - 5) Now simplify:-

y = 2x - 10 + 6

y = 2x - 4

You can do the others in exactl

y the same way