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Given the point and slope, write the equation of the line. (-8,6); slope = 1/4

User Kabochkov
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1 Answer

2 votes

Answer:


y=(1)/(4)x+8

Explanation:

Given the properties of a line.

• Point, (x1, y1) = (-8, 6)

,

• Slope, m = 1/4

It is required that we find the equation of the line.

Since we are given a point on the line and its slope, to find the equation of the line, we make use of the slope-point formula for a line.


y-y_1=m(x-x_1)

Substitute the given values.


\begin{gathered} y-6=(1)/(4)\lbrack x-(-8)\rbrack \\ y-6=(1)/(4)\lbrack x+8\rbrack \\ \text{Add 6 to both sides} \\ y-6+6=(1)/(4)\lbrack x+8\rbrack+6 \\ y=(1)/(4)\lbrack x+8\rbrack+6 \\ \text{Open the bracket} \\ y=(1)/(4)x+(1)/(4)(8)+6 \\ y=(1)/(4)x+2+6 \\ y=(1)/(4)x+8 \end{gathered}

The equation of the line is:


y=(1)/(4)x+8

User Vizzdoom
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