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:
[tex]y=-2x+\text{?}[/tex]
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:
[tex]3=-2\cdot(-1)+\text{?}[/tex]
Simplifying the last expression we have that:
[tex]\begin{gathered} 3=2+\text{?} \\ \text{?}=3-2 \\ ?=1 \end{gathered}[/tex]
So we see that the value of ? is 1 and the equation is:
[tex]y=-2x+1.[/tex]
Answer: 1
