Question

Write the equation of the line passing through the point (2,-1) with a slope of -3

Answer 1

`y = -3x + 5`

Explanation:

We know we'll have to use the linear equation
`y=mx+b`

Since
`m` means gradient (or slope) we know that it's -3 since that's already indicated to us

All that we have to find now is b, and we can find this by plugging in the known values of x and y since we have the coordinate (2,-1)

We can plug these values in and solve for b

`-1 = -3\cdot 2 + b\\-1 + 6 = b \\b = 5 \\`

Therefore, in order to get the equation we just have to replace b with 5

`y = -3x + 5`

Good luck!