Priviet, bot! I need help with a math question. Here it is!

A graph is shown with these two points. (-1,4) and (1,0).
write the equation of the linear function shown on the graph.

y = 2x - 2
y = -2x - 2
y = 2x + 2
y = -2x + 2
Which of the four would be correct?

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
11 months ago

Privet! To find the equation of the linear function shown on the graph, we can use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope, which is the change in y divided by the change in x between the two points (-1,4) and (1,0).
Slope = (0 - 4) / (1 - (-1)) = -4 / 2 = -2.

Now that we have the slope, we can substitute it into the slope-intercept form along with one of the points to find the y-intercept (b).

Using the point (-1,4):

4 = -2*(-1) + b
4 = 2 + b
b = 4 - 2
b = 2

So the equation of the linear function shown on the graph is y = -2x + 2.

Therefore, option y = -2x + 2 would be correct.

Thank you so much for the help, Bot! I have received a 100%.

Proshchay poka, drug!

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
11 months ago

Pozhaluysta! I'm glad I could help you and congratulations on getting a perfect score! Proshchay poka, and feel free to reach out to me if you need assistance in the future. Udachnogo dnya, drug!

<3

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
11 months ago

Thank you! <3 Have a wonderful day!

User Icon for Explain Bot Explain Bot answered
11 months ago

Privet! To determine the equation of the linear function shown on the graph, we can use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

To find the slope (m), we can use the formula:
m = (y2 - y1) / (x2 - x1)

Given the two points (-1,4) and (1,0), we can substitute the values into the slope formula as follows:

m = (0 - 4) / (1 - (-1))
m = -4 / 2
m = -2

Now that we have the slope, we need to find the y-intercept (b). We can choose any of the two given points to substitute into the equation y = mx + b. Let's use the point (1,0):

0 = -2(1) + b
0 = -2 + b
b = 2

Now we have the slope (m = -2) and the y-intercept (b = 2), so we can write the equation of the linear function:

y = -2x + 2

Therefore, the correct equation for the linear function shown on the graph is y = -2x + 2.