Question

Given the equation: -6x+2y = 18 blank

write the equation in slope-intercept form

Answer 1

y=3x+9

Step-by-step explanation:

the formula for slope intercept is: y=mx+b

so, basically you are wanting to set everything equal to y

1.) add -6x to 18 to get :

2y=18+6x

2.) divide everything by 2 to get why by itself:

y=9+3x

3.) rewrite equation:

y=3x+9

Answer 2

To convert -6x + 2y = 18 to slope-intercept form, solve for y to get y = 3x + 9, where the slope is 3 and the y-intercept is 9.

Step-by-step explanation:

To write the equation -6x + 2y = 18 in slope-intercept form, which is y = mx + b, we need to solve for y to find the slope (m) and the y-intercept (b).

1. Add 6x to both sides to get 2y = 6x + 18.
2. Divide each term by 2 to solve for y, yielding y = 3x + 9.

The slope-intercept form of the equation is y = 3x + 9, where the slope (m) is 3, and the y-intercept (b) is 9. This indicates for every unit increase in x, y increases by 3. The line crosses the y-axis at the point (0, 9).