Question

Write an equation in slope-intercept form for the line that has a slope of -1 that passes through (-4,3).

Answer 1

`\huge\boxed{y=-x-1}`

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

`m` - slope

`b` - y-intercept

The point-slope form of an equation of a line:

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

`(x_1;\ y_1)` - point on a line

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We have

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

substitute

`y-3=-1(x-(-4))\\\\y-3=-(x+4)\\\\y-3=-x-4\qquad|\text{add 3 to both sides}\\\\y-3+3=-x-4+3\\\\y=-x-1`