Answer:
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.
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]()