The slope-intercept form of a line is given by:
[tex]y=mx+b[/tex]
Where:
b = y-intercept
m = slope
The slope is:
[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ (x1,y1)=(-3,-5) \\ (x2,y2)=(0,4) \\ m=\frac{4-(-5)}{0-(-3)}=\frac{9}{3}=3 \end{gathered}[/tex]
Using the point-slope equation:
[tex]\begin{gathered} y-y1=m(x-x1) \\ y-(-5)=3(x-(-3)) \\ y+5=3x+9 \\ y=3x+4 \end{gathered}[/tex]
Therefore:
The slope is 3 and the y-intercept is 4.
