Write the given equation in slope intercept form

Given: 3x+2y=10

1 answer

To write the equation 3x + 2y = 10 in slope-intercept form, we need to solve for y.

Starting with the given equation:
3x + 2y = 10

We want to get y by itself on one side of the equation. First, we can subtract 3x from both sides:
2y = -3x + 10

Next, we divide both sides by 2 to isolate y:
y = (-3/2)x + 5

Now, the equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -3/2 and the y-intercept is 5.