Question

Write the linear equation in slope-intercept form.
-2/3x+2y=-7

Answer 1

To rewrite the equation -2/3x + 2y = -7 in slope-intercept form, isolate y by adding 2/3x to both sides and then divide by 2 to get y = 1/3x - 7/2, where the slope is 1/3 and the y-intercept is -7/2.

Step-by-step explanation:

To write the linear equation -2/3x + 2y = -7 in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:

First, isolate the y-term on one side of the equation. This can be done by adding 2/3x to both sides:

2y = 2/3x - 7

Next, divide the entire equation by 2 to solve for y:

y = (2/3x - 7)/2

Simplify the fraction on the right-hand side:

y = 1/3x - 7/2

You now have the linear equation in slope-intercept form with the slope m = 1/3 and the y-intercept b = -7/2.

Answer 2

Answer: Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

To write the linear equation in slope-intercept form, we need to rearrange the equation so that the y term is on the left-hand side and the x term is on the right-hand side, and the coefficient of the y term is 1.

First, we can move the -7 to the right-hand side by adding 7 to both sides:

-2/3x + 2y = -7

-2/3x + 2y + 7 = 0

Next, we can divide both sides by 2 to make the coefficient of the y term 1:

(-2/3x + 2y + 7) / 2 = 0 / 2

-1/3x + y + 7/2 = 0

Finally, we can rewrite the equation in slope-intercept form by moving the constant term to the right-hand side:

y = -1/3x + 7/2

The slope-intercept form of the linear equation is y = -1/3x + 7/2.