Question

Determine the slope-intercept form of the linear equation х/2-y+6=0.

A) y = 6
B) y - 6
C) y = -6

Answer 1

The slope-intercept form of the given linear equation x/2 - y + 6 = 0 is y = 1/2x + 6, where the slope is 1/2 and the y-intercept is 6.

Step-by-step explanation:

To determine the slope-intercept form of the linear equation №/2 - y + 6 = 0, we need to solve for y in terms of x. The slope-intercept form is y = a + bx, where b represents the slope and a represents the y-intercept. Here's the step-by-step transformation:

1. Add y to both sides of the equation: №/2 + 6 = y.
2. Multiply both sides of the equation by 2 to get rid of the fraction: x + 12 = 2y.
3. Divide both sides by 2 to solve for y: y = x/2 + 6.

This shows that the slope is 1/2 and the y-intercept is 6, so the slope-intercept form of the equation is y = 1/2x + 6.