Question

How do you write an equation of a line given (4, 6) and (-7, -3)?

Answer 1

Calculate the gradient, substitute in a point on the line, and simplify.

Explanation:

To calculate the gradient, use the formula `m=(y_2-y_1)/(x_2-x_1)`:

`m=(-3-6)/(-7-4)=(-9)/-11=9/11`

Now, you can substitute this and one of the given points into the standard formula `y-y_1=m(x-x_1)`:

`y-6=9/11(x-4)`
`y=9/11(x-4)+6=(9x)/11-36/11+66/11=(9x)/11+30/11`
`y=(9x)/11+30/11`