A line passing through the points (6, –2) and (–2, 4).

Complete the work shown:

1. Use slope formula to find the slope.

2. Substitute a point and slope in point-slope form.

3. Distribute the slope through the parentheses.

4. Solve for the y-variable.

1. m = StartFraction 4 minus (negative 2) Over negative 2 minus 6 EndFraction = StartFraction 6 Over negative 8 EndFraction = negative three-fourths. 2. y minus 4 = negative three-fourths (x minus (negative 2)). 3. y minus 4 = negative three-fourths x minus three-halves.

4. y = negative three-fourths x +

Step-by-step explanation:

Our given points: (6, –2) and (–2, 4).

1. Use the slope formula to find the slope

Therefore, the slope of the line is .

2. Substitute a point and a slope in point-slope form

Point-slope form:

In point-slope form, the variables and stay y and x, so when we plug a point into this equation, we plug the x and y variables in and . We can plug in either given point, (6, –2) and (–2, 4), for this equation to be correct. Below, you can see that I plugged in the first given point.

3. Distribute the slope through the parentheses

4. Solve for the y-variable

This is asking us to isolate the y variable in the equation that we have created in step 3. To isolate the y-variable, all we have to do is move the +2 over to the right side by subtracting both sides by 2.

I hope this helps!

jbankston is right, use thhe link and you should find the answer.

hi there

the slope is 1/3.

this is because from the y-intercept, you go up one, and you go to the right three, to get to the next exact point on the graph. this is known at the “rise over run.”

p.s. (if you need it).your y-intercept is -2, because that is the point on the graph where the line crosses the y-axis.

hope that : )