C1 coordinate geometry question help?

Question

The line y=1/4 x + 2 meets the y-axis at the point B. The point C has coordinates (-5,3).
Find the gradient of the line joining the points B and C. 
Can someone show me how to work this out please?

Answer 1

The line equation is .

General form of line equation is .

Here is slope or gradient and is intercept.

Find point coordinates.

Compare the both equations.

Gradient , intercept is , then .

The point has coordinates .

Find the gradient of the line joining the point and .

The line joining the point and .

Formula for .

Substitute and .

The gradient of the line joining the point and is .