Question

Which graph represents a line with a slope of - į and a y-intercept equal to that of the line y = = x-27

ТУ

Answer 1

the last graph

Explanation:

trust me i got it right on edge2020

Answer 2

Explanation:

Let the equation of the line is,

y = mx + b

Where m = slope of the line

b = y-intercept

Slope of the line 'm' = -
`(2)/(3)`

y-intercept 'b' of the line is equal to the y-intercept of another line given as,

`y=(2)/(3)x-2`

Here y-intercept of the line 'b' = -2

Therefore, the equation of the line will be,

y = (-
`(2)/(3)`)x + (-2)

`y=-(2)/(3)x-2`

Here negative slope represents a line which is decreasing having y-intercept = -2

Therefore, last graph (bottom) given in the picture will be the answer.