Question

Choices to pick are : y=3x
And y=2x+2 can someone please help out ??

Answer 1

y = 2x + 2

Explanation:

Here we're asked to come up with a linear function relating x and y.

First we find the slope of the line. As we move from (0, 2) to (3, 8), x increases by 3 and y by 6. Thus, the slope is

m = rise / run = 6 / 3 = 2.

Plugging givens into the slope-intercept formula y = mx + b, we find b:

2 = 2(0) + b, so that b = 2.

Then the desired relationship between x and y is y = 2x + 2.

Answer 2

y = 2x + 2

Explanation:

Start at point (2, 6).

Go up 2 units up (rise = 2) and 1 unit right (run = 1). Now you are at point (3, 8) which is on the graph.

slope = rise/run = 2/1 = 2

The slope of the graph is 2. m = 2

Now look at point (0, 2). The y-intercept is 2. b = 2

The equation is

y = mx + b

y = 2x + 2