A line includes the points (4, 8) and (3, 5). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form

Respuesta :

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.