Question

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

Answer 1

Answer:

Step-by-step 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' = -$\frac{2}{3}$

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

$y=\frac{2}{3}x-2$

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

Therefore, the equation of the line will be,

y = (-$\frac{2}{3}$)x + (-2)

$y=-\frac{2}{3}x-2$

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.