Question

Work out the equation of the line which has a gradient 1/2 and passes through the point (4,-2)

Answer 1

y=1/2x-4

Explanation:

y-y=m(x-x)

y+2=1/2(x-4)

y=1/2x-4

Answer 2

Explanation:

We can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where m is the gradient of the line and (x1, y1) is a point that the line passes through.

Substituting the given values, we get:

y - (-2) = 1/2(x - 4)

Simplifying this equation, we get:

y + 2 = 1/2x - 2

y = 1/2x - 4

So the equation of the line is y = 1/2x - 4.