Question

Hey again can u help me with this

Answer 1

option C

Explanation:

We will take 2 coordinates from the graph and Find the equation of the line.

Let the coordinates be : ( 0, 1) and (1, 3)

step 1 : find slope

`slope , m = (y_2 - y_ 1)/(x_2 - x_1) = (3-1)/(1-0) = 2`

Step 2 : equation of the line :

`( y - y_1) = m (x- x_1)`

`(y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1`

Therefore, y = 2x + 1 represent the equation of the line.

Answer 2

C

Explanation:

You need to solve for y = mx + b

You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have

y = mx + 1 so far.

Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.

The clearest point I can see is (-2,-3) which means that

x = -2

y = - 3

Put that into the equation and solve for m.

-3 = m(-2) + 1 Subtract 1 from both sides

-3-1 = m(-2) Combine

-4 = -2 m Divide both sides by - 2

-4/-2 = m

m = 2

Answer

only a and c are real choices. That's because m = 2 in both cases.

The equation we got is y = 2x + 1 which is c