Question

Using the graph, which of these ordered pairs is the best estimate of the solution of the system y = 3x + 2 and y = -1/4 x + 1?

Answer 1

A. (0.5, 0.5)
B. (-0.3, 1.1)
C. (1.2, 0.8)
D. (0.8, -0.5)

Answer 2

set the 2 equations equal and solve for x

3x+2 = -1/4x +1

Answer 3

So basically just put the numbers in for x, and whichever equation equals the same for both, is my answer?

Answer 4

???

Answer 5

yeah you could do that too :)

Answer 6

Okay thanks! :)

Answer 7

I tried plugging in all the numbers for x and none of them equal the same.. or am I doing the wrong thing for this problem? I don't get it.

Answer 8

Try plugging in x = -0.3 again

3(-.3) +2 = ?
-1/4(-.3) +1 = ?

Answer 9

there is some rounding error

Answer 10

3(-.3)+2 = 1.7
-1/4(-.3)+1 = 0.7

Answer 11

So now what?

Answer 12

3*(-.3) = -.9

Answer 13

Okay but my answer choices available are:

A. (0.5, 0.5)
B. (-0.3, 1.1)
C. (1.2, 0.8)
D. (0.8, -0.5)

Answer 14

you must solve it graphically so you only need to find the point of intersection between the two lines y = 3x + 2 & y = -1/4 x + 1 from the graph
then the solution is (-0.3, 1.1)

Answer 15

Oh!!!!! Well that would've helped me a long time ago. Lol thank you so much hoblos! :) It means a lot! :)

Answer 16

my pleasure XD