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3 years ago

A line with a slope of -1 passes through the point (0,0). What is its equation in slope-intercept form? Please answer quickly.

Mathematics

1 answer:

rusak2 [61]3 years ago

4 0

Answer:

y = -x

Step-by-step explanation:

The line has a slope of -1 and it passes through point (0,0)

Taking another point (x,y) on the line;

Slope = change in y ÷ change in x

For our case; slope = $\frac{y - 0}{x - 0} = -1$

Cross multiplying this gives;

y = -x

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mezya [45]

Answer:

A ( -2 , 9 )

Step-by-step explanation:

Idea: You find the first derivative of f(x), and then set it equal to the desired slope. You'll find some x. That we will use to find the point.

f'(x) = 3x^2 + 12x + 20

f'(x) = 8

3x^2 + 12x + 20 = 8

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3 years ago

Y=-x^2+2x+10 y=x+2 Substitution Please show your work Need ASAP

erik [133]

Answer:

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

Step-by-step explanation:

we have

$y=-x^{2} +2x+10$ ----> equation A

$y=x+2$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$x+2=-x^{2} +2x+10$

solve for x

$-x^{2} +2x+10-x-2=0$

$-x^{2} +x+8=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2} +x+8=0$

$a=-1\\b=1\\c=8$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(-1)(8)}} {2(-1)}$

$x=\frac{-1\pm\sqrt{33}} {-2}$

$x=\frac{-1+\sqrt{33}} {-2}$ -----> $x=\frac{1-\sqrt{33}} {2}$

$x=\frac{-1-\sqrt{33}} {-2}$ -----> $x=\frac{1+\sqrt{33}} {2}$

Find the values of y

For $x=\frac{1-\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1-\sqrt{33}} {2}+2$ ----> $y=\frac{5-\sqrt{33}} {2}$

For $x=\frac{1+\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1+\sqrt{33}} {2}+2$ ----> $y=\frac{5+\sqrt{33}} {2}$

therefore

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

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3 years ago

Ms.Ella wants to rent a car,it cost $0.9 per mile plus $200 initial fees.If she rent the car for x miles write an expression tha

Hatshy [7]

Answer:

$0.9x + 200 = cost$

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2 years ago

Read 2 more answers

A line with a slope of -1 passes through the point (0,0). What is its equation in slope-intercept form?​ Please answer quickly.

A line with a slope of -1 passes through the point (0,0). What is its equation in slope-intercept form? Please answer quickly.