Write the following equation in slope-intercept form. Then identify the slope and y-intercept.

-3x+7y=-9

7 y = 3 x - 9

so

y = (3/7) x - (9/7)

m = slope = 3/7
b = y axis intercept when x = 0 = -9/7

To write the equation -3x + 7y = -9 in slope-intercept form, we need to isolate y on one side of the equation.

First, let's rearrange the equation:
7y = 3x - 9

To isolate y, we need to divide both sides of the equation by 7:
y = (3/7)x - 9/7

Now the equation is in the form y = mx + b, where m is the slope and b is the y-intercept.

The slope of the equation is 3/7, which is the coefficient of x.

The y-intercept is -9/7, which is the constant term.