Question

i need assistance on this

Answer 1

question below will fan and medal for the help

Answer 2

@Scooby6363 @ace-n-it @math&ing001

Answer 3

First find the slope using: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]Then your equation will be \(y-y_1=m(x-x_1)\)

Answer 4

\( (x_1,y_1) \) and \((x_2,y_2)\) are two points from your graph.

Answer 5

You're fortunate because those two points are clearly marked, and thus you don't have to obtain the slope from the graph itself (without points marked).

Answer 6

115-147
_________
50-10

Answer 7

is this supposed to look this way

Answer 8

Yep, exactly like that, then simplify

Answer 9

-32/40?

Answer 10

-32/40 = -4/5

Answer 11

how do i make the equation

Answer 12

Just like I aid before \( y-y_1=m(x-x_1) \)
Plug in m, the slope, and a point (x1,y1) from the graph.

Answer 13

Even if you do it only in your mind, label the slope "m."

m=-4/5

which one of the equations of a straight line, that you and I used before, will you now use? Keep in mind that you have the slope and one point on the line.

Answer 14

math&ing001's equation is just fine for this purpose. It's called the "point-slope" formula for the equation of a straight line.

Answer 15

@math&ing001 y-147=m(x-10)

Answer 16

Aren't you going to put in the value of the slope, m?

Answer 17

its asking an equation of the line and
isnt the slope m=-4/5?
it isnt asking to graph

Answer 18

Yes but you still need to plug in the slop in the equation, even if you're not going to graph it.
Here y-147=m(x-10), you just replace m with its value -4/5

Answer 19

You want the specific equation of this line. You have y-147=m(x-10). As math&ing001 has said, simply plug in "-4/5" for m. Write out your result, please.

Answer 20

is it supposed to be y-147=-4/5-10?

Answer 21

Yes, almost, but you must include the "x" in there. Remember, x and y are the variables in any equation of a straight line that is neither vertical nor horiz.

Please copy your previous equation and fix it as follows: 1) include the variable 'x' and 2) enclose the -4/5 within parentheses.

Answer 22

how do i do that?

Answer 23

@math&ing001

Answer 24

have you understood the question @math&ing001 and @mathmale

Answer 25

It's just a problem with folding :
y-147=m(x-10) turs into \(y-147=-\frac{4}{5}(x-10) \)
If you fold it, it's \(y-147=-\frac{4}{5}x-8 \)

Answer 26

MATH&ING001'S presentation is the most elegant in that he / she has correctly expressed that slope as

-4
----
5

...which eliminates the need for parentheses. If you don't want to go thru the trouble of using fancy graphics, then write (-4/5)x.

Answer 27

how do i turn that into an equation of the line as it states?

Answer 28

Have you any doubts that math& and I have understood the original question? if so, please explain.

Answer 29

It's already the equation of a line. What you have now is, as I said before, in point-slope form. That equation could be simplified a bit, but unless y ou MUST present the equation in point-slope form, you're done solving the problem.

Answer 30

\[y-147=-\frac{4}{5}x-8\] is the equation of the line that you were supposed to find.
If you'd like to simplify it, multiply all four terms by the LCD, which is 8.

Answer 31

it says to simply my answer and type it in slope-intercept form

Answer 32

**simplify and type it in slope intercept form

Answer 33

@math&ing001 and @mathmale

Answer 34

You now have \[y-147=-\frac{4}{5}x-8\] Only one of these terms is a fraction. That fractional term has the denom. 5. Multiply all 3 terms by 5 and present below what you get.

Answer 35

Earlier I said the LCD is 8; that was wrong. The LCD is 5. In other words, the only term that is a fraction is 4/5; multiplying all four terms by 5 will remove the fraction.

Answer 36

Puting in slope intercept form, is just like solving for y.
Can you solve here for y ?\[ y-147=-\frac{4}{5}x-8 \]

Answer 37

math^ing001: You are, of course, right on track. But why present an alternative approach when another (mine) is right on the table and eliminates struggling with fractions?

Answer 38

y =mx+b ---> slope intercept form

Answer 39

Given:\[y-147=-\frac{4}{5}x-8\] ... multiply all four terms by 5. Result begins with 5y. Can you finish this?

\[5(y-147=-\frac{4}{5}x-8)=?\]

Answer 40

This time it is I who needs to leave. I'll be back later, just in case this problem still needs finishing then.

Answer 41

@mathmale it's because she doesn't need to get rid of the fraction, it's alright if the slope is like that. She could just add 147 on both sides to get the final form :
\[ y-147=-\frac{4}{5}x-8 \]\[ y=-\frac{4}{5}x+139 \]

Answer 42

sorry i was having dinner its actually y=-0.8x+155 @math&ing001

Answer 43

how do i find the rate of change in the target heart rate

Answer 44

@Scooby6363 @math&ing001 @Mehek14

Answer 45

Yeah I made a mistake when folding it's \[y-147=-\frac{4}{5}x+8 => y=-\frac{4}{5}x+155\]The rate of change is = to the slope.