Question

Algebra 2

What is the equation of a line with slope -2/7 and intercept (0, -1)?

A) y = -2/7x

B) x = -2/7y - 1

C) y = -1

D) y = -2/7x - 1


Please show work so I can understand.

Answer 1

It’s always gonna be y=. That is a given in all equations. The slope would be before the x and after the =. And if the first number in parentheses is a 0 then the y-intercept will be the second number. If it’s positive it’s plus and if it’s negative it’s minus

Answer 2

D

Explanation:

Recall the slope-intercept form of a line:

y = mx + b

slope -2/7 means m = -2/7

y = -2/7x + b

Intercept at (0, -1)

x = 0 and y = -1.

Hence, let's plug it back into the equation we made earlier (y = -2/7x + b)

(-1) = -2/7(0) + b

-1 = b

b must be -1

y = -2/7x -1