Write the following equation in slope-intercept form. 3x - 2y = 5

Solution:

Given equation 3x - 2y = 5

We know that the slope-intercept form is y = mx + c where m is the slope and c is intercept

In order to get that form, we need to rearrange the terms as follows:

3x - 2y = 5 ⇒ -2y = -3x + 5

⇒ y = -3x/-2 + 5/-2

⇒ y = 3x/2 - 5/2

⇒ y = (3/2)x + (-5/2)

This is in form y = mx + c, here m = 3/2 and c =-5/2

The required equation is y = (3/2)x + (-5/2)

Write the following equation in slope-intercept form. 3x - 2y = 5

Summary:

The equation in slope-intercept form for 3x - 2y = 5 is y = (3/2)x + (-5/2).