Choose the graph that solves this system of equations. y = 2x – 6
y = –4x + 3
Two lines that intersect at the origin. One line has a positive slope and the other has a negative slope. Two lines that intersect at about 2 comma negative one half. One line has a positive slope and the other has a negative slope. There is also a single dot at the origin. Two lines that intersect at about three halves comma negative 3. One line has a positive slope and the other has a negative slope. Two lines that both have a positive slope. They do not intersect on the part of the graph shown, but there is a single dot at the origin.

Two lines that intersect at about three halves comma negative 3. One line has a positive slope and the other has a negative slope.

Step-by-step explanation:

Given equations of line:

y = 2x – 6               ...(i)

y = –4x + 3            ...(ii)

On comparing with y=mx+c (slope-intercept form), where m= slope ,= y-intercept.

(i) has positive slope (2) and (ii) has negative slope(-4).

Eliminate (ii) from (i), we get

0 = 6x-9

⇒ 6x=9

⇒

Put value of x in (i), we get

Point of intersection = (three halves,  negative 3)

11 / 21

Step-by-step explanation:

The ratio 22 to 42 can be written as: 22 : 42, and in fraction form as:

22 / 42  in this fraction we can cancel a common factor of 2 from numerator and denominator, leaving us with the reduced fraction:

2 * 11 / (2 *21) = 11 / 21