Question

Which of the sets of equations represent the two lines graphed?

Answer 1

Answer:

B) y = x + 2 and y = -x - 4

Step-by-step explanation:

Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be

$\frac{x}{a} + \frac{y}{b} = 1$

The line with positive slope has x-intercept a=-2 and y-intercept b=2.

Its equation is:

$\frac{x}{ - 2} + \frac{y}{2} = 1$

Multiply through by 2

$- x + y = 2$

Solve for y,

$\boxed {y = x + 2}$

For the line with a negative slope,

the x-intercept is a=-4 and the y-intercept is b=-4

Its equation is

$\frac{x}{ - 4} + \frac{y}{ - 4} = 1$

Multiply through by -4

$x + y = - 4$

Solve for y

$\boxed {y = - x - 4}$