Question

Hey I just need you to explain how to get the question mark please

Answer 1

We must find the slope-intercept equation for the line that passes through the points (-1,3) and (-4,9).

From the statement we have the following equation:

`y=-2x+\text{?}`

Because the line passes through the points (-1,3) and (-4,9), we can find the value of ? by replacing the coordinates (x,y) of the points. Let's take the point (x,y) = (-1,3), replacing its coordinates we have:

`3=-2\cdot(-1)+\text{?}`

Simplifying the last expression we have that:

`\begin{gathered} 3=2+\text{?} \\ \text{?}=3-2 \\ ?=1 \end{gathered}`

So we see that the value of ? is 1 and the equation is:

`y=-2x+1.`

Answer: 1