Write an equation in slope-intercept form of the line shown

Y=
Anybody can help with the answer?

Step-by-step explanation:

Slope Intercept is:

'm' - slope

'b' - y-intercept

Slope is:

We are given the points (3,1) and (1,-3).

The slope of the line is 2.

Therefore,

m = 2

We have the equation:

To find the y-intercept, we can substitute x and y for a point on the line.

I will use (3,1):

The y-intercept is -5.

b = -5

The equation for the line given in the question is .

(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