exclusiveheidi1
exclusiveheidi1 exclusiveheidi1
  • 16-12-2021
  • Mathematics
contestada

A line passes through the point , (−8,−5 )and has a slope of 3/4. Write an equation in slope-intercept form for this line.

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ThePerfectionOne01
ThePerfectionOne01 ThePerfectionOne01
  • 16-12-2021

Answer:

[tex]y=\frac{3}{4}x-5[/tex]

Step-by-step explanation:

The formula for slope-intercept form:

[tex]y=mx+b[/tex]

[tex]m[/tex]= slope

[tex]b[/tex] = [tex]y[/tex]-intercept

Plugin the slope and [tex]y[/tex]-intercept

Slope is [tex]\frac{3}{4}[/tex]

[tex]y[/tex]-intercept is the [tex]y[/tex] value in a coordinate point, so [tex]y[/tex]-intercept is [tex]-5[/tex]

[tex]y=\frac{3}{4}x-5[/tex]

Therefore, [tex]\bold{m=\frac{3}{4}}[/tex] and [tex]\bold{b=-5}[/tex], hence [tex]\bold{y=\frac{3}{4}x-5}[/tex] is the equation.

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