Workout the equation of a line which has a gradient of -2 and passes through points (1, 7)
To find the equation of a line with a given gradient and a point, we can use the point-slope form of the equation of a line:
y - y₁ = m(x - x₁)
where (x₁, y₁) is the given point and m is the gradient.
In this case, the given point is (1, 7) and the gradient is -2:
Using the point-slope form, the equation of the line is:
y - 7 = -2(x - 1)
Expanding and rearranging the equation:
y - 7 = -2x + 2
y = -2x + 2 + 7
y = -2x + 9
Therefore, the equation of the line is y = -2x + 9.