Answer:
A line includes the points (4, 8) and (3, 5) whose equation in slope-intercept form will be :
[tex]y=3x-4[/tex]
Step-by-step explanation:
The point slope form: [tex](x_1,y_1) and(x_2,y_2)[/tex]
[tex](y-y_1)=m(x-x_1)[/tex]
where : m = Slope of the line
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
A line includes the points (4, 8) and (3, 5).The equation of the line will be:
[tex]m=\frac{5-8}{3-4}=3[/tex]
[tex](y-8)=3\times (x-4)[/tex]
[tex]y-8=3x-12[/tex]
[tex]y=3x-4[/tex]
(y=mx+c), where c is intercept at y axis.
The above equation represents slope-intercept form of the line.