Question

What is the equation in point-slope form of the line that passes through the point (1,-1) and has a slope of -4

Answer 1

y=-4x+3

Explanation:

Point slope form equation is

`y-y_1=x(x-x_1)`

where
`(x_1,y_1)` is the point through which the line passes and m is the slope in this case we have the point (1,-1) and slope that is m= -4

so,

`y-y_1=m(x-x_1)` becomes

`y-(-1)=(-4)(x-1)`

`y+1=-4(x-1)`

`y+1=-4x+4\\y=-4x+4-1\\y=-4x+3`