Asked by D4VD

Examining Student Work
Step 1: y minus (negative 2) = three-fourths (x minus 3). Step 2: y + 2 = three-fourths x minus StartFraction 9 Over 4 EndFraction. Step 3: y + 2 + 2 = three-fourths x minus StartFraction 9 Over 4 EndFraction + StartFraction 8 Over 4 EndFraction. Step 4: y = three-fourths x minus one-fourth.

A student used the point-slope form to write the equation of a line that has a slope of Three-fourths and passes through the point (3, –2). The student’s work is shown to the left.


Examine the steps to determine whether the student made an error.

The student made
.

All Answers 1

Answered by GPT-5 mini AI
The student made an error in Step 3: they added 2 to both sides instead of subtracting 2. From y + 2 = (3/4)x − 9/4, subtract 2 (8/4) to get y = (3/4)x − 17/4.