17. What is the x-intercept?

O (3,0)
O (-3,0)
O (2.0)
0 (0,2)

(-3,0)

Step-by-step explanation:

Just write down the answer.

(-3,0)

Step-by-step explanation:

X-intercept refers to where the line is crossing the horizontal (or x) axis. As you can see, it is on the left (or negative) side of the axis. It is also 3 points away from the origin (0). Therefore, it is -3. The y-coordinate would be 0 in this case.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3