Slope intercept form of points 0, -4 and -1, 4

Step-by-step explanation:

first, you have to find the slope, and to do that you use this equation

     so, now to insert your points (0,-4), (-1,4)

                                                      (x1,y1)  (x2,y2)

now that you have the slope you can find the y-intercept of the slope-intercept form by looking at your first point (0,-4) and get -4

- if you were to look at this point on a graph it would be on the y-axis therefore, -4 is the y-intercept [if you don't have a point like this one then you can look at a graph with one of your points and make a slope until you are on the y-axis :)]

therefore, the slope-intercept form is y= -4

[ps, your slope is a zero slope :)]

y = - 8x - 4

Step-by-step explanation:

y = mx + b

"m" is slope, "b" is y-intercept.

( , )

( , )

m =

~~~~~~~~~~~~~~~

(0, - 4) are coordinates of y-intercept.

( - 1, 4)

m = = - 8

y = - 8x - 4

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!