Question

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

Answer 1

Answer:

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

Step-by-step 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

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