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AysviL [449]
3 years ago
7

Send help please help :D

Mathematics
1 answer:
Svetllana [295]3 years ago
5 0

Answer:

A) Slope =

m =  \frac{1}{4} x

explanation:

Take 2 random points off the line, I used (4,1) & (8,2)

The formula to find the slope when given 2 points is

m  =  \frac{rise}{run}  =  \frac{y2 - y1}{x2 - x1}

so in this case x1 & y1 are assigned to (4,1)

  • 4 = x1
  • 1 = y1

and x2 & y2 are assigned to (8,2)

  • 8 = x2
  • 2 = y2

so substitute the numbers into the formula and solve !

m= \frac{y2 - y1}{x2 - x1}  =  \frac{2 - 1}{8 - 4}  =  \frac{1}{4}

this will result in the answer I got above!!

B) yes it does show a constant rate of change cause it's increasing in 1/4x intervals

C) just because you move the placement of a line on the graph doesn't mean it's going to effect the slope as long as the numbers on the axis don't change!!

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Solve the equation. |K + 9| = 4
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Answer:

A) {-13,-5}

Step-by-step explanation:

Given expression:

|K+9|=4

We need to solve for K

Since K+9 lies in the absolute brackets, so we can write the solution as (|x|\ where\ x>0\ and\ x)  :

For K+9>0

K+9=4

For K+9

K+9=-4

Solving for K individually.

Subtracting both sides by 9.

K+9-9=4-9      and K+9-9=-4-9

K=-5              and K=-13

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6 0
3 years ago
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Slope-intercept form of this equation -1/2x + 8y = -40
GuDViN [60]

Answer:

y = (1/16)x - 5

Explanation:

The slope-intercept form of the equation has the form:

y = mx + b

Where m is the slope and b is the intercept.

So, to write the equation in the slope-intercept form, we need to solve the equation for y:

\begin{gathered} -\frac{1}{2}x+8y=-40 \\ -\frac{1}{2}x+8y+\frac{1}{2}x=-40+\frac{1}{2}x \\ 8y=-40+\frac{1}{2}x \\ \frac{8y}{8}=\frac{-40}{8}+\frac{1}{8}(\frac{1}{2}x) \\ y=-5+\frac{1}{16}x \\ y=\frac{1}{16}x-5 \end{gathered}

Therefore, the slope-intercept form of the equation is:

y = (1/16)x - 5

7 0
1 year ago
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