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Use the point–slope formula to write an equation of the line that passes through −4,15 and has a slope of m = − 4. Write the answer in slope–intercept form (if possible).
The equation of the line is_____

Use the pointslope formula to write an equation of the line that passes through 415 and has a slope of m 4 Write the answer in slopeintercept form if possible T class=

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linandrew41

Let's split this problem into several steps:

Let's first put it into the point-slope form:

    ⇒ Point-slope form ⇒ [tex](y-y0)=m(x-x0)[/tex]

  • (x0,y0) --> any point on the line
  • m --> slope

Consider the information given:

  • (x0,y0) --> (-4,15)
  • m --> -4

Let's plug the numbers in:

  [tex]y - 15=-4(x+4)\\[/tex]

To put this format into slope-intercept form, we will solve for y:

 ⇒as in, move everything else to one side and y by itself on the other

    [tex]y - 15=-4(x+4)\\y-15=-4x-16\\y = -4x-16+15\\y=-4x-1[/tex]

Thus the equation of the line is --> [tex]y = -4x - 1[/tex]

Hope that helps!

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