Question

2x + x = 4(y - 1)
(Solving for slope and y-intercept)

Answer 1

Equation: y = 3/4(x) + 1

Slope: 3/4

Y-intercept: 1

Explanation:

1. How do we solve this problem?

• To find the slope and y-intercept, we should first isolate the variable, y, on one side to make it easier to find.

Step 1: Simplify both sides of the equation.

• 
  `(2x + x) = (4)(y) + (4)(-1)`
• 
  `3x = 4y - 4`

Step 2: Flip the equation.

• 
  `4y - 4 = 3x`

Step 3: Add 4 to both sides.

• 
  `4y - 4 + 4 = 3x + 4`
• 
  `4y = 3x + 4`

Step 4: Divide both sides by 4.

• 
  `(4y)/(4) = (3x+4)/(4)`
• 
  `y = (3)/(4)x + 1`

2. Now, the y-intercept form of an equation goes like this: y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. In the place of m, the slope is 3/4. In the place of b, the y-intercept is 1.

Answer 2

The slope is 3/4 and the y-intercept is 1

Explanation:

2x+x=4(y-1)

3x=4(y-1)

Distributive prop.

3x=4y-4

Changing into slope-intercept form

4y-4=3x

4y=3x+4

y=3/4x+1

The slope is 3/4 and the y-intercept is 1