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melisa1 [442]
2 years ago
9

Type ALL the steps of writing the equation of the line given the slope of the line is −4 and a point on the line is (−2,1).

Mathematics
1 answer:
Mars2501 [29]2 years ago
3 0

Answer:

y = -4x - 7

Step-by-step explanation:

we use the slope intercept formula given by; y = mx + b

b = y intercept, which is when x = 0

m = slope

so they tell us the slope.. we just need to find b - the y intercept.

y = mx + b

plug in your coordinates (-2,1)

1 = -4(-2) + b

1 = 8 + b

1 - 8 = b

-7 = b

put it all together.

y = -4x - 7

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Find the y-intercept of the line that has a slope of -3 and passes through (9,0)
Ann [662]

9514 1404 393

Answer:

  27

Step-by-step explanation:

For point (x, y) and slope m, the y-intercept can be found from the equation ...

  b = y -mx

  b = 0 -(-3)(9) = 27

The y-intercept is +27. The corresponding ordered pair is (0, 27).

7 0
2 years ago
What is the equation of a line that passes through the points (3, 6) and (8, 4)
Ymorist [56]
First let us find the slope between the two points.

Slope = Change in y / Change in x.

(3, 6) and (8, 4) compares to (x₁, y₁) and (x₂, y₂)

Slope = (y₂ - y₁) / (x₂ - x₁) =  (4 - 6) / (8 - 3) = -2/5 

Slope m = -2/5= -0.4

Using  y = mx + c,   using point (3, 6)

y = -0.4x  + c

6 = -0.4*3 + c

6 = -1.2 + c

6 + 1.2 = c

7.2 = c

c = 7.2

Equation = :       y = -0.4x +c

y = -0.4x + 7.2

y = -4/10  + 72/10

10y = -4x + 72

5y = -2x + 36

Equation =:      5y = -2x + 36

Hope this explains it.
4 0
3 years ago
Need an answer, please need an answer, please​
trasher [3.6K]

Answer:

Step-by-step explanation:

Area = 192 m²

Perimeter= 56 m

Width = x m

Perimeter = 56

2*(length + width) = 56

Divide the equation by 2

l + x = 56/2

l + x = 28

    l = 28 - x

Area = 192 m²

l * w = 192

(28 - x)*x = 192

28x - x*x = 192

0 = 192 - 28x + x²

x² - 28x + 192 = 0

2) Equation is a quadratic equation. The roots of this equation will the dimensions of the rectangular plot.

3) The roots represent the width and length  of the rectangle.

x² - 28x +192 = 0

Sum = -28

Product =192

Factors =  -16 , -12   {-16 +(-12) = -28  & (-12)*(-16) = 192}

x² - 28x + 192 = 0

x² - 12x - 16x + (-16)*(-12) = 0

x(x  -12) - 16(x - 12) = 0

(x - 12)(x -16) =0

x -12 = 0     ; x - 16 = 0

x = 12  ; x = 16

x = 12 ,16

4) Sum of the roots = 12 + 16 = 28

Sum of the roots = half of the perimeter

5) Product of the roots = 12*16 = 192 =  area of the rectangle.

6 0
3 years ago
a recipe calls for 32 fluid ounces of heavy cream. how many 1-pint containers of heavy cream are needed to make the recipe?
Lorico [155]
Two pints because there are sixteen ounces in a pint and when you divide 32 by 16 you get 2.
5 0
3 years ago
Factor the polynomial. 3x3 – 12x2 + 27^x
Lynna [10]

12

Simplify 3x3 to 9

9- 12 x 2 + 27

Simplify 12 x 2 to 24

9- 24 + 27

8 0
3 years ago
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