Answer:
Step-by-step explanation:
Slope intercept form of a line passing through points [tex]\left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right )[/tex] is given by [tex]y=mx+b[/tex] where b is the y-intercept i.e, point at which the line intersects the y-axis , m represents the slope given by [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
4.
b = 1
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-5}{-1-2}=\frac{-6}{-3}=2[/tex]
Equation is y=2x+1
5.
b = - 5
m = 0 as the line is parallel to x - axis
Equation is y = - 5
6.
b = 4
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-4}{4-0}=\frac{-2}{4}=\frac{-1}{2}\\y=\frac{-x}{2}+4[/tex]
Equation is [tex]y=\frac{-x}{2}+4[/tex]
