Determine slope

Question

DExterminator the slope and the y intercept of the li e 7x+3y=-8

Answer 1

In order to identify the slope and y-intercept of a line, the easiest way to do so is to change the equation to slope-intercept form (y = mx + b).

1. The slope will be the coefficient of x. (the number in front of x)
2. The y-intercept will be the constant. (the number that is not connected to any variable).

So, given this equation: 7x+3y=-8, we are going to isolate y so that we can change it to slope-intercept form.

Step 1: 7x+3y=-8

Step 2: Subtract 7x from both sides --> 3y = -8-7x

Step 3: Divide the entire equation by 3 --> y = -8/3-7/3 x

Remember, the slope is the coefficient of x, so we're looking at the number in front of x (including the negative sign!). So the slope is -7/3. The y-intercept is the number that's by itself, so that is -8/3.

Summary:

Slope is -7/3

Y-intercept is (0, -8/3)

Answer 2

7x + 3y = -8

3y = -7x -8

y = -7x/3 -8/3 in slope intercept form, -7/3 = slope, -8/3 = y intercept