Question

Select the graph that matches the function y=3x+7

Answer 1

y=3x+7 would be a straight line and the +7 means the line crosses the Y axis at 7

 so the bottom left graph is correct

Answer 2

Answer:  The correct graph is third one. It attached.

Step-by-step explanation:  We are given to select the graph that matches with the graph of the following function.

$y=3x+7~~~~~~~~~~~~~~~~~~~~(i)$

Since the given equation is a linear equation in two unknown variables, so its graph will be a straight line.

Also, from equation (i), we have

If x = 0, then y = 7

and

if y = 1, then x = -2.

So, (0, 7) and (-2, 1) are two points on the line graph of the given equation.

When we plot these two points on a graph paper and join them, we see that the line graph coincides with the third graph given in the options.

Thus, the correct graph is third one. Its image is attached below.