Question

Please help I’m really struggling with this

Answer 1

Answer:

$y=\frac{1}{3} x+4$

Step-by-step explanation:

A linear equation is written as $y=mx+b$, "m" being the slope and "b" being the y-intercept.

The slope is how many times you rise/run in order to get from one point on the line to the next. You rise (go up/down) 1 unit and run (go left/right) 3 units. Plug in the numbers and you get 1/3.

The y-intercept is where the graph lands on the y-axis, which is 4.

Answer 2

y = 1/3x + 4

Step-by-step explanation:

y = ax + b

b = the intercept with the y-as.

In the graph, the linear function (which is a fancy word for a line), you can see that the incline with the y-axis is at point (0,4).

So, b = 4

a = slope or incline.

To easilly find "a", you can follow these steps:

1. You choose two "nice" poins.

2. Starting on one point of the line, you count how many units you need to go in horizontal direction and in vertical direction to end upon the another point on the line.

3. The fraction a = y units/x units

1. Choose two nice point

Starting from (0,4) and going to the next "nice" point for example (3, 5).

2. Horizontal 3 units to the right, and 1 unit up.

3. a = y units/x units

a = 1/3

y = 1/3x + 4