Choose the graph that matches the following system of equations: 4x + y = −1 3x + 2y = 8

We have tog graph the system of equations which are given as:

4x + y = −1   ( The graph of this equation is a straight line passing through (-1/4,0) and (0,-1) ).

and 3x + 2y = 8. ( The graph of this equation is a straight line passing through (8/3,0) and (0,4) ).

Now we will find the point of intersection of these two graphs:

we will solve these two equation by the method of substitution we will substitute the value of y in terms of x.

y=-1-4x

now by equation 2:

3x+2y=8

3x+2(-1-4x)=8

3x-2-8x=8

-5x-2=8

5x= -10

x= -2

Hence we get y= -1-4×(-2)=-1+8= 7

Hence, the point of intersection of the two lines are:

(-2,7)

answer: the equation matches the regression

step-by-step explanation:

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew