Work out the equation of the line which has a gradient of -2 and
passes through the point (1,7).

y = -2x + 9

Step-by-step explanation:

Formula for finding the equation of a line with a single coordinate is

y - y₁

        = m    1

x - x₁

Now make it a linear expression

y - y₁ = m( x - x₁)   2

since the gradient  (m) = -2 and x₁ = 1 and y₁ = 7

substitute for the values in the formula 2

y - 7 = -2( x - 1 )

y - 7 = -2x + 2

y      = -2x + 2 + 7

y      = -2x + 9

Therefore equation of the line with the following information will be

y      = -2x + 9

step-by-step explanation:

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