Question

Help please can you verify if this is correct pls

Answer 1

\[y=-1/4x+1/4\]

Answer 2

ok... so..looking at the graph
the lines goes through the point (-1,1) right?
and has a slope of - 1/4 right?

Answer 3

\[y =- \frac{ 1 }{ 4 }x + \frac{ 1 }{ 4 }\]

Answer 4

b would be what falls on the y axis yes?

Answer 5

hmmm if you're referring to y = mx + b
b = y-intercept <-- where the graph touches the y-axis

now, y = mx+b <--- slope-intercept form
but you're asked to use point-slope form

\(\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({\color{red}{ -1}}\quad ,&{\color{blue}{ 1}})\quad

\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies-\cfrac{1}{4}
\\ \quad \\
% point-slope intercept
y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 6

no asked to: Write the equation in slope-intercept form.

Answer 7

hmmm in the graph it says "point-slope" form :|

Answer 8

You are shown (by the graph) that the line passes thru (-1,1) and that the slope of the line is -1/4. You need to find the y-intercept, which is b in y=mx+b.

Since you already know x, y and m here, substit. their values into y=mx+b.

What is the y-coordinate of the given point? Answer: 1
What ist he x-coordinate of the given point? Your answer:

So, your y=mx+b becomes 1=(-1/4)( ) +b.

Again, subst. the x-coord. of the given point inside the ( ), above, and find b.

Answer 9

sorry it cut out

Answer 10

Indeed the problem requests "point slope form." The method I proposed is the fastest way to obtain an equation, which can then be converted to point-slope form.

Answer 11

is my point slope form above correct

Answer 12

Unfortunately, you're not using the point-slope form. What you have in that box is the slope-intercept form.

Answer 13

\[y=-\frac{ 1 }{ 4 }x+\frac{ 1 }{ 4 }\]

Answer 14

I'm getting mixed uo

Answer 15

well, the red "X" next to it, seems to be a bit omnious

Answer 16

ominous? ;)

Answer 17

ominous even =)

Answer 18

All right, Ivonne: YOU choose the method we use.
Do you want to start with the point-slope form or with the slope-intercept form?

Answer 19

this is a sample one i did

Answer 20

just different numbers

Answer 21

Which form do YOU want to start with?

Answer 22

y=mx+b

Answer 23

That's the same form I started with. Know that?

Answer 24

yes

Answer 25

Great. What is the slope (given slope) of the line in question?

Answer 26

i would think the answer would be y=-1/4x+1/4

Answer 27

-1/4

Answer 28

m=-1/4

Answer 29

Let's work through the problem itself to confirm the answer, ok?

right. So, in y=mx+b, let m=-1/4.

Answer 30

y=-1/4x+b

Answer 31

Great. Now, thru which given point does the line pass?

Answer 32

not sure

Answer 33

i guessed 1/4

Answer 34

given is (-1,1)

Answer 35

Only one point is given by its coordinates: (-1,1).
what is x there?
what is y there?

Subst. these values into y=(-1.4)x+b.

Answer 36

1=(-1/4)-1+b

Answer 37

You have to enclose that '-1' within parentheses: 1=(-1/4)(-1)+b.

You have 3 terms here. We want to get rid of the fraction -1/4. So, mult. all 3 terms by 4. simplify your result.

Answer 38

4(1)=?
4(-1/4)=?
4(b)=?

Answer 39

b=.75

Answer 40

That looks very reasonable when you compare it to the y-intercept on the graph.

Let's assume that the equation in slope-int. form is y=(-1/4)x + (3/4).

Let's change that to point-slope form. Know how?

Answer 41

\[y=-\frac{ 1 }{ 4 }x+\frac{ 3 }{ 4 }\]

Answer 42

Pt.-slope form looks like y-k=m(x-h), where (h,k) is the point in question. We don't know it. We have to find it.

Actually, I'm wrong there. You already know the slope is -1/4 and that one point is (-1,1).

Therefore, h=-1 and k=1. m=-1/4.

Subst. these values into the above equation.

Answer 43

What you have typed is correct, but is not in pt-slope form. Thought you wanted pt-slope form.

Answer 44

If y=1 and x=-1 and slope m = -1/4, then

y-k = m(x-h) becomes

y-1 = (-1/4)(x-[-1]). That is already in pt-slope form.

Answer 45

You could simplify that a little and end up with y-1=(-1/4)(x+1).

Answer 46

that's it.

Sorry, I have to go, but I will be back on OS later this evening.
Glad to work with you.

Answer 47

thank you!

Answer 48

My pleasure!
Bye!