Question

Which graph corresponds to the table? Giving brainliest to accurate answer.

Answer 1

Answer:

Last graph that slopes upwards from left to right and that has an y-intercept of -1

Step-by-step explanation:

let us pick some points!(you can chose any two)

when x =3 , y = 14 : helps us get points (3,14)

when x =1 , y = 4 : helps us get points (1,4)

so we find the gradient using the two points:

$gradient \ =\frac{14-4}{3-1} =\frac{10}{2}$

we now use gradient 10/2 and point (1,4) to find the equation  of the line:

$\frac{10}{2} =\frac{y-4}{x-1} \\2(y-4)=10(x-1)\\2y-8=10x-10\\2y=10x-10+8\\2y=10x-2\\y=5x-1$

from the equation of the line found we are able to find the y- intercept of the line is -1 and that the line has a positive gradient thus should slope upwards from left to right.

From the pictures you posted, we pick the last graph as it seem to slope upwards from left to right and has the line cutting y axis at around -1