Look at this table:
X. Y.

-10-51
-9 -46
-8 -41
-7-36
-6 -31

Write a linear function (y = mx + b) or an exponential function (y = a(b)") that models the
data.
y =

Respuesta :

Answer: [tex]y=5x-1[/tex]

Step-by-step explanation:

We observe that as X increases by 1, Y increases by a constant amount. This suggests a linear relationship between X and Y.

Now, let's find the slope (m) and y-intercept (b) for the linear function y = mx + b:

To find the slope (m), we can use the formula:

[tex]m=\frac{change in Y}{change in X}[/tex]

Let's choose two points from the data, say (-10, -51) and (-9, -46):

[tex]m=\frac{-46-(-51)}{-9-(10)}=\frac{5}{1}=5[/tex]

Now, let's use one of the points to find the y-intercept (b). We can use (-10 -51):

[tex]-51=5(-10))+b\\b=-51+50=-1[/tex]

So, the linear function that models the data is:

[tex]y=5x-1[/tex]

Answer:

f(x)=5x-1

Step-by-step explanation:

What ever we look at this graph of x and y you must do is graph and find the point or you can use the point slope formula which is y2-y1 and x2-x1 to find the points r you can find the points on your graph to calculate the line of the x axis and y-axis on the graph.