Question

If one point on a graph is (8,8) and the slope of the line is -2

Answer 1

Explanation

Given a coordinate (8, 8) and slope -2

We are to obtain the equation of the line in slope-intercept form

Equation of a line is given as:

$\begin{gathered} y=mx+b \\ where\text{ m = slope} \\ b=\text{ y intercept} \end{gathered}$

From the coordinate, we can determine that:

$\begin{gathered} (8,8)\rightarrow(x,y) \\ x=8 \\ y=8 \end{gathered}$

Next, we substitute these values in the function:

$\begin{gathered} y=mx+b \\ 8=-2(8)+b \\ 8=-16+b \\ b=8+16=24 \end{gathered}$

Now, we substitute the slope and the y-intercept to give:

$y=-2x+24$

Hence, the last option is correct.

y = -2x + 24.