Answer:
-Use Slope formula first, to find the slope and after you have the slope, use the slope and the first point or coordinate for the point-slope formula:
Slope Formula:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] ( where the first point is [tex](x_{1}, y_{1})[/tex] and the second point
Point-slope formula:
[tex]y-y_{1}=m ( x-x_{1})[/tex]
1.) [tex](4, 10) , (-2, 7)[/tex]
[tex]m = \frac{7-1}{-2-4}[/tex]
[tex]m = -1[/tex]
Point-slope form:
[tex]y-1= -1 ( x-4)[/tex]
2). [tex](1, 3), (-3, 0)[/tex]
[tex]m = \frac{0-3}{-3-1}[/tex]
[tex]m = \frac{3}{4}[/tex]
Point-slope form:
[tex]y-3=\frac{3}{4} ( x-1)[/tex]
3). [tex](-2, -5), (4, -1)[/tex]
[tex]m = \frac{-1+5}{4+2}[/tex]
[tex]m = \frac{4}{3}[/tex]
Point-slope form:
[tex]y+5=\frac{4}{3} ( x+2)[/tex]