7

Set 11: Linear Functions

Explanation

Answer: A

Find the equation of the line parallel to y=5xy = 5x passing through (1,6)(1, 6).

A.

y=5x+1y = 5x + 1

✓ Correct
B.

y=5x+6y = 5x + 6

C.

y=5x1y = 5x - 1

D.

y=15x+6y = \frac{1}{5}x + 6

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Use point-slope. 1. Slope: 5. 2. Point: (1,6)(1, 6). 3. Equation: y6=5(x1)y=5x5+6y=5x+1y - 6 = 5(x - 1) \rightarrow y = 5 x - 5 + 6 \rightarrow y = 5 x + 1. Strategic Tip: Check the point: 6=5(1)+16= 5(1) + 1. Correct. Choice B is incorrect because intercept error. Choice C is incorrect because it results from an error in the solution process. Choice D is incorrect because slope error.

Key Steps:

The correct answer is y=5x+1y = 5x + 1

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

🎯 Keep Practicing!

Master all sections for your best SAT score