Question

1) Select the equations that are equivalent to the equation y-4=5(x+2). Select all that apply.

A) y=2x+5
B) y=5x+14
C) 5x-y=-14
D) 2x+y=14
2) Which of the following represents an equation of a line with a slope of 5 and a y-intercept of 1?
A) y=5x+1
B) y=5x-5
C) x-5y=-5
D) y= -1/5x+1

Answer 1

see explanation

Explanation:

1

Given

y - 4 = 5(x + 2) ← distribute parenthesis

y - 4 = 5x + 10 ( add 4 to both sides )

y = 5x + 14 → B

Subtract y from both sides

0 = 5x - y + 14 ( subtract 14 from both sides )

- 14 = 5x - y → C

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2

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 5 and c = 1, thus

y = 5x + 1 → A