A coordinate plane with a line passing through (negative 3, negative 5), (0, 1), and (2, 5).

Mathematics

2 answers:

-Dominant- [34]3 years ago

4 0

Answer:

m=2

b=1

y=2x+1

Step-by-step explanation:

First, slope is change in y over change in x, or rise over run. Plugging these points in, (y2-y1)/(x2-x1)=(1--5)/(0--3), or 6/3, simplifying, the slope= 2.

Next, the y-intercept is where the line intersects the y-axis, or when x is 0. Looking at the point (0,1), the y intercept is 1.

Using slope intercept form, y=mx+b, or y=2x+1.

irakobra [83]3 years ago

3 0

Answer:

A function f(x) is graphed.

What is the slope of the function?

m =

What is the y-intercept of the function?

b =

Which equation represents the graph of the function?

y = 2x + 1

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In how many ways can two integers be selected from 60 consecutive positive integers so that their sum is even?

padilas [110]

Using the combination formula, it is found that the integers can be chosen in 870 ways.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The resulting sum will be even if both numbers are even(2 from a set of 30) or if both numbers are odd(also 2 from a set of 30), hence:

$T = 2C_{30,2} = 2\frac{30!}{2!28!} = 870$