Question

Put the following equation of a line into slope-intercept form, simplifying all fractions. 2y-x=2

Answer 1

y =
`(1)/(2)` x + 1

Explanation:

2y = x + 2

`(2)/(2)` y =
`(1)/(2)` x +
`(2)/(2)`

y =
`(1)/(2)` x + 1

Answer 2

y = (1/2)x + 1

Explanation:

1. The equation of a line in slope-intercept form is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

Let's rewrite the equation to solve for y.

2. (Solving)

Step 1: Add x to both sides.

• -x + 2y + x = 2 + x
• 2y = x +2

Step 2: Divide both sides by 2.

• (2y)/2 = (x+2)/2
• y = 1/2x +1

Therefore, the equation 2y-x=2 in slope-intercept form is y = (1/2)x + 1.