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!

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step-by-step explanation:

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