Find an equation of the line satisfying the given conditions


Asked by wiki @ in Mathematics viewed by 137 People


find an equation of the line satisfying the given conditions. write the equation using function notation. Through (-20,5) and (-36, 9) And can you show me the steps?

Answered by wiki @



Answer:

The equation of the line using function notation is

y=f(x)=-\frac{1}{4}x

Step-by-step explanation:

Given points are (-20,5) and (-36, 9)

Now to find the equation of the line passes through these points

Let (x_{1},y_{1}) and  (x_{2},y_{2}) be the two given points  (-20,5) and (-36, 9) respectively.

To find slope

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{9-5}{-36-(-20)}

m=\frac{4}{-36+20}

m=\frac{4}{-16}

m=-\frac{1}{4}

Therefore  m=-\frac{1}{4}

The equation of the line is of thr form y=mx+c

The point (-20,5) passes through the above line and  m=-\frac{1}{4}

5=-\frac{1}{4}(-20)+c

5=5+c

c=0

y=-\frac{1}{4}x+0

Therefore  y=-\frac{1}{4}x

Therefore the equation of the line using function notation is

y=f(x)=-\frac{1}{4}x


Do you know the better answer?

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