Question

Find an equation of the line described below. Write the equation in slope-intercept form (solved for y), when possible Through (15,5) and (5,15)

Answer 1

Given that the required linepasses through the points (15, 5)and (5, 15).

Find the slope of the line using teo-point formula.

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ =(15-5)/(5-15) \\ =(10)/(-10) \\ =-1 \end{gathered}`

Substitute the value of m into theslope-intercept form y = mx+c.

`y=-x+c`

Plug in the point (5, 15)to find c, the y-intercept.

`\begin{gathered} 15=-5+c \\ c=20 \end{gathered}`

Thus, y = -x + 20, which is the required equation of line.