Question

Choose the equation of the line in slope-intercept form.

Parallel to y = 3x - 1 and has the point (-2,-1).

A. y = -1/3x + 2
B. y = -1/3x + 5
C. y = 3x + 5
D. y = 3x + 2

Answer 1

y = 3x + 5

steps-explanation:

given sample equation:

• y = 3x - 1

comparing to the formula of slope intercept form: y = mx + b

[ where m is the slope and b is the y-intercept ]

we can determine here that the slope is 3 and -1 is the y-intercept.

but here we need only the slope.

in parallel, the slope is same: 3

formula:

• y - y1 = m(x - x1)

using the formula: [ here known that y1 is -1 and x1 is -2 ]

• y - -1 = 3(x - -2)
• y + 1 = 3x + 6
• y = 3x + 5