Answer:
[tex]y=2x+2[/tex]Explanation:
Recall that the slope-intercept form of the equation of a line is generally given as;
[tex]y=mx+b[/tex]where m = slope of the line
b = y-intercept of the line
Given the slope(m) of the line as 2, let's go ahead and determine the y-intercept(b) of the line using the point (-3, -4) where x = -3 and y = -4 as seen below;
[tex]\begin{gathered} -4=2(-3)+b \\ -4=-6+b \\ -4+6=b \\ 2=b \\ b=2 \end{gathered}[/tex]Since b = 2 and m = 2, we can now go ahead and write the equation of the line in slope-intercept form as;
[tex]y=2x+2[/tex]