Question

Which graph shows this system of equations?

Answer 1

third graph

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y =
`(1)/(3)` x + 12 ← is in slope- intercept form

with slope m =
`(1)/(3)` and y- intercept c = 12

y = 3x + 4 ← is in slope- intercept form

with slope m = 3 and y- intercept c = 4

• If m > 0 , then graph slopes upwards from left to right

Both equations have a positive slope, thus both slope upwards from left to right.

the first equation has a y- intercept of 12

the second equation has a y- intercept of 4

Theses lines are represented in the third graph