Question

Jolon used the slope-intercept form to write the equation of a line with slope 3 that passes through the point (5, –2). His work is shown below. Step 1: -2=3(5)+b Step 2: -2=15+b Step 3: -2+15=15+15+b Step 4: -13=b Step 5: y=3x - 13 Analyze the steps. In which step did the Jolon make an error? A. He switched the x- and y- values in step 1. B. He multiplied incorrectly in step 2. C. He added 15 to both sides in step 3. D. He forgot to add the b-value in step 5.

Answer 1

Answer:y = mx + b

m = -3/4

y = (-3/4)x + b

Use the given point (4,-6) to find b:

-6 = (-3/4)(4) + b

-6 = -3 + b

b = -3

Final equation:

y = (-3/4)x - 3

Explanation:

Answer 2

He should not have added 15 in step 3. The answer is C.

Explanation:

The fifteen in step 3 is POSITIVE. To move it to a different side to solve, you must subtract positive numbers and add negative ones. Thus, the answer is C.