Question

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

Answer 1

Answer:

y = (1/2)x + 1

Step-by-step 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.

Answer 2

Answer:

y = $\frac{1}{2}$ x + 1

Step-by-step explanation:

2y = x + 2

$\frac{2}{2}$ y = $\frac{1}{2}$ x + $\frac{2}{2}$

y = $\frac{1}{2}$ x + 1