Question

Identify the slope (m) and y-intercept (b) of each linear equation.
52. 3x+4y=24

Answer 1

Explanation:

[1] 3x - 4y = -24

[2] -x - 16y = -52

Graphic Representation of the Equations :

-4y + 3x = -24 -16y - x = -52

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = -16y + 52

// Plug this in for variable x in equation [1]

[1] 3•(-16y+52) - 4y = -24

[1] - 52y = -180

// Solve equation [1] for the variable y

[1] 52y = 180

[1] y = 45/13

// By now we know this much :

x = -16y+52

y = 45/13

// Use the y value to solve for x

x = -16(45/13)+52 = -44/13

Solution :

{x,y} = {-44/13,45/13}