Question

Find an equation of the line described. Write the equation in​ slope-intercept form when possible. Slope 1​, through (-4,3)

Answer 1

The equation of the line:


`y=mx+b`


The point-slope form of the equation of the line:


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

We have:


`m=1\ and\ A(-4;\ 3)\to x_1=-4\ and\ y_1=3`

Substitute:


`y-3=1(x-(-4))\\\\y-3=x+4\ \ \ |+3\\\\\boxed{y=x+7}`