Question

Please help an 8th grader in needdddddddddddddddddddddddddddddddddddddddddddd

Answer 1

Answer: y intercept is (0,50) and Slope is -10.

Final equation is y= -10x+50

Explanation:

Y-intercept is at what point the line intercepts the y-axis. It intersects at (0,50) coordinate point as you can see.

Slope is change in y divided by the change in x. When you change x by 1, y changes by -10. So it is -10/1 = -10. Slope is -10.

Since we know y intercept and slope equation is y=-10x+50

Answer 2

The two points used to find the slope:

`x_1,y_1`: 2,30

`y_1,y_2:` 4,10

Final equation: y = -10x + 50

Explanation:

From a fellow 8th grader <3

First, let's review the slope of a line: y = mx + b

Where m is the slope, and b the y-intercept

Let's find the slope. To do this I will select 2 points from this graph, and using the slope formula I will calculate it

Slope formula:
`(rise)/(run) =(change- in- y)/(change-in-x) =(y^2-y^1)/(x^2-x^1)`

To get the most accurate answer, I will be using the 2 points given that are directly on the line:

1 = (2, 30)

2 = (4, 10)

Slope:
`(10-30)/(4-2) =(-20)/(2) =-10`

m = -10

It makes sense that it is a negative, since the graph continues downwards.

Let's update our equation: y = -10x + b

We can see that the line intersects the y-axis at y = 50

Plug this into our b-value:

y = -10x + 50

Now, I would recommend using a graphing calculator (like a TI-83) or an online one (like desmos) to double check this. I have attached a screenshot of this line on desmos. From there we can see if this line matches up with the one seen on your graph.

Our answer is:

The two points used to find the slope:

`x_1,y_1`: 2,30

`y_1,y_2:` 4,10

Final equation: y = -10x + 50

Please let me know if this helped you, and if this was the correct answer! If it is incorrect I will do my best to revise my answer.