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3 years ago

I need help on how to plot the number one PLEASE HELP

Mathematics

1 answer:

Misha Larkins [42]3 years ago

3 0

I attached a pic with my work on it. Hope this helps!

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murzikaleks [220]

Answer:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Step-by-step explanation:

Slope-intercept form of a linear equation:

$\boxed{y=mx+b}$

where:

m is the slope.
b is the y-intercept (where the line crosses the y-axis).

Slope formula

$\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}$

Equation 1

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(-1, 6)$

$\textsf{Let }(x_2,y_2)=(0, 1)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5$

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=-5x+1$

Equation 2

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(1, 1)$

$\textsf{Let }(x_2,y_2)=(0, -4)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5$

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=5x-4$

Conclusion

Therefore, the system of linear equations shown by the graph is:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Learn more about systems of linear equations here:

brainly.com/question/28164947

brainly.com/question/28093918

5 0

1 year ago

Read 2 more answers

Sam has nine yellow pencils in his desk 3/4 of his pencils are yellow how many pencils does Sam have in his desk

mrs_skeptik [129]

Answer:

Step-by-step explanation:

(# of pencils)x(3/4)=9

(# of pencils)x(0.75)=9

(# of pencils)=9/(0.75)=12

3 0

3 years ago

How do you prove that angles are parallel?

3241004551 [841]

Answer:#1

if corresponding angles are congruent

if alternate interior angles are congruent

if consecutive, or same side, interior angles are supplementary

if two lines are parallel to the same line

if two lines are perpendicular to the same line

if alternate exterior angles are congruent

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3 years ago

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2 children share 2 small boxes of cereal

adelina 88 [10]

Each person would get 1 bix of cereal because 2 divided by 2 = 1

Hope that helps!!! ;)

6 0

3 years ago

Help me with my homework please

Paladinen [302]

Answer:angle 1=90 angle 2=45 angle 3=45

Step-by-step explanation:

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2 years ago