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A line passes through the point (4,-9) and has a slope of -5/4 Write an equation in point- slope form for this line

User Dayshaun
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1 Answer

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The equation in point-slope form is:


y=mx+b

where m is the slope and b is the y-intercept.

We are told the slope of this line. Then, we can replace this value in the equation as follows:


y=-(5)/(4)x+b

As we have one point (x, y) that passes through this line, we can replace it in the x and y values and solve for b as follows:


-9=-(5)/(4)*4+b

Simplifying:


-9+5=b


b=-4

Answer:


y=-(5)/(4)x-4

User Blue Orange
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