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.