Question

How do you write the equations of a line passing through (0,0) and (-2,4) in standard form?

Answer 1

`y=-2x`

Explanation:

To find the gradient it's the difference in the y values divided by the difference in the x values.

`g=(y_1-y_2)/(x_1-x_2)`

`g=(4-0)/(-2-0)=4/-2-2`

This means the equation is of the form

`y=-2x+c` where `c` is the y intercept. But we know it goes through the origin (0,0)

#=> y=-2x+0