Question

Using Point-Slope Form to Write in Slope-Intercept Form
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 +

Answer 1

1. m = (4 − (−2))/(-2 − 6) = 6/(-8) = −3/4.

2. Using point (−2, 4): y − 4 = −3/4 (x − (−2)) = −3/4 (x + 2).

3. y − 4 = −3/4 x − 3/2.

4. y = −3/4 x − 3/2 + 4 = −3/4 x + 5/2.

(Check: x = 6 gives y = −3/4·6 + 5/2 = −9/2 + 5/2 = −2, and x = −2 gives y = 4.)