Question 1(multiple choice worth 1 points) (05.02 lc) which equation does the graph below represent? a coordinate grid is shown. the x-axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y-axis values are from negative 20 to positive 20 in increments of 4 for each grid line. a line is shown passing through the ordered pairs negative 4, 16 and 0, 0 and 4, negative 16. y = fraction 1 over 4x y = 4x y = fraction negative 1 over 4x y = −4x

(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