Question

Help PLEASE IN A RUSH!

Which graph represents this system?

y = 3. x + y = 4.
On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).
On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (4, 0).
On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (2, 6).
On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (3, 7).

Answer 1

first option

Explanation:

y = 3 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 3

x + y = 4 ← is the equation of a straight line

find the x and y- intercepts

to find the y- intercept let x = 0 in the equation and solve for y

0 + y = 4 , that is

y = 4 ⇒ (0, 4 ) is a point on line

to find the x- intercept let y = 0 in the equation and solve for x

x + 0 = 4 , that is

x = 4 ⇒ (4, 0 ) is a point on the line

the graph representing the system is

a horizontal line y = 3 and another line passing through (0, 4 ) and (4, 0 )