−23⋅(7+2)+11 = −23⋅ +11 = +11 =

Write an equation in standard form for the line, where the points (-2, -1) and (0, 4) are on the line

DedPeter [7]

Answer:

An equation in standard form for the line is:

$\frac{5}{2}x-y=-4$

Step-by-step explanation:

Given the points

(-2, -1) and (0, 4)

The slope between two points

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:4\right)$

$m=\frac{4-\left(-1\right)}{0-\left(-2\right)}$

$m=\frac{5}{2}$

Writing the equation in point-slope form

As the point-slope form of the line equation is defined by

$y-y_1=m\left(x-x_1\right)$

Putting the point (-2, -1) and the slope m=1 in the line equation

$y-\left(-1\right)=\frac{5}{2}\left(x-\left(-2\right)\right)$

$y+1=\frac{5}{2}\left(x+2\right)$

$y=\frac{5}{2}x+4$

Writing the equation in the standard form form

As we know that the equation in the standard form is

$Ax+By=C$

where x and y are variables and A, B and C are constants

so

$y=\frac{5}{2}x+4$

$\frac{5}{2}x-y=-4$

Therefore, an equation in standard form for the line is:

$\frac{5}{2}x-y=-4$

7 0

2 years ago

Simplify (-5) + (-2) - (-7) - (+9)

Alecsey [184]

-5-2+7-9 = -9

- and - make a plus :)

3 0

3 years ago

Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7?

Vaselesa [24]

Answer:

Step-by-step explanation:

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6 0

3 years ago

Hello can someone help me please

Nadusha1986 [10]

Add the three different amounts she gets to find the total:

450 + 300 + 500 = 1250 mg total.

1250 is greater than 1200, so yes, she is getting enough.

8 0

3 years ago

Read 2 more answers

Need help please ..

Strike441 [17]

Answer:

x = -11

Step-by-step explanation:

I'm assuming it's an isosceles triangle so 32 + 2x = 10;

subtract 32 from both sides;

2x = -22

x = -11

3 0

3 years ago