Question

Choose the equation below that represents the line passing through the point (2, -4) with a slope of 1/2

Answer 1

Hint: The equation of a line in point-slope form is y=m(x-x1)+y1 where (x1,y1) is a point on the line and m is the gradient of the line.

Answer 2

Can you calculate the equation of the line now? @smantha

Answer 3

no i still dont understand

Answer 4

This is the equation of a line in point-slope form: y=m(x-x1)+y1 . There are other forms of the equation of a line, but point-slope will work best.
In this question, the gradient (m)=1/2. We have also been told that the line passes through the point (2,-4) thus x1=2 and y1=-4 .
We now fix in the values of m, x1 and y1 into the equation y=m(x-x1)+y1
y=1/2(x-2)-4
Simplify that and you will get the equation of the line.

Answer 5

Does that make more sense?

Answer 6

yes thank you

Answer 7

You're welcome. :)