Answer:
Point-slope form:
[tex]y+3=0(x-0)[/tex]
Step-by-step explanation:
-To get the point-slope form, you need to find the slope first by using the slope formula:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
-Use the two given points [tex](0,-3)[/tex] and [tex](4,1)[/tex] for the formula:
[tex]m = \frac{-3+3}{4-0}[/tex]
-Solve the formula:
[tex]m = \frac{-3+3}{4-0}[/tex]
[tex]m = 0[/tex]
-After you have the slope, which is [tex]0[/tex] obviously, you need the point-slope formula to get it in a point-slope form:
[tex]y-y_{1}=m(x-x_{1})[/tex] (where [tex]m[/tex] represents the slope, and [tex](x_{1},y_{1})[/tex] represents the first point).
-To get in a point-slope form, you only need to use the slope [tex]0[/tex] and the first point [tex](0-3)[/tex] for the point-slope equation:
[tex]y+3=0(x-0)[/tex]
So, the point-slope form is [tex]y+3=0(x-0)[/tex] .
