Find an equation of the line passing through the points

Question

Given the function 3x+4y=12  find the following

a. X-intercept

b. Y-intercept

c. Slope

 

 

Find an equation of the line passing through the points (-2,6) and (4,1). Write the equation in slope -intercept form.

Answer 1

This website doesn't have the capability to graph an equation.

 

To find the x- intercept, let y = 0 and solve for x.

3x + 4y = 12

3x = 12

x = 4

(4,0)

 

To find the y-intercept and slope, put the equation in slope-intercept form.

4y = -3x + 12

y = (-3/4)x + 3

y-int = 3    (0,3)

Slope = -3/4

 

(-2,6) (4,1)

y - y₁ = y₂ - y₁

x - x₁    x₂ - x₁

 

y - 6 = 1 - 6 = -5       Cross Multiply

x + 2   4 + 2     6

 

6y - 36 = -5x - 10

6y = -5x + 26

y = (-5/6)x + 13/3