PLZ HELP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST What is the slope-intercept form of the equation of the line that passes through the points (2, 7) and (4, −1)? y=−4x+15 y=−4x+3 y=−4x+30 y=−4x+12

A.

Step-by-step explanation:

We are given the two points (2,7) and (4,-1).  In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope m. Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

Thus, the slope is -4.

Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

Where (x1, y1) is a coordinate pair and m is the slope.

Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:

This is also slope-intercept form. The answer is A.

A. y=-4x+15

Step-by-step explanation:

First, you want to find the slope by using the formula

The first step is to put in the right numbers,

Then, subtract the numbers accordingly

Then simplify

or -4

The next step is finding the y-intercept, you can do this by drawing it out or using the formula (i will be using the point (2,7) where y is 7 and x is 2)

y=-4x+b   Plug in the values

7=-4(2)+b   Multiply

7=-8+b   add 8 to both sides to isolate the variable

15=b

so y=-4x+15

Hope this helps, if you have any questions, feel free to ask.

Have a good day! :)

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

c. 6tan80

step-by-step explanation: