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A line passes through the point (-1,-5) and has a slope of -5.
Write an equation in slope-intercept form for this line.

Sagot :

hello!

We're given a point that the line intersects and its slope.

Let's use Point-slope:-

[tex]\boxed{y-y1=m(x-x1)}[/tex]

y1 = -5

m=-5

x1=-1

[tex]\boxed{y-(-5)=-5(x-(-1)}[/tex]

[tex]\boxed{y+5=-5(x+1)}[/tex]

Convert to slope-intercept:-

[tex]\boxed{y+5=-5x-5}[/tex]

[tex]\boxed{y=-5x-5-5}[/tex]

Finally,

[tex]\bigstar{\boxed{\pmb{y=-5x-10}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

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