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3 years ago

8x+4y= -4 what is the slope and y intercept of the line

Mathematics

2 answers:

jarptica [38.1K]3 years ago

8 0

Answer:

y = -2x - 1 ; slope = -2, y-intercept = (0, -1)

Step-by-step explanation:

to get the slope and y intercept, you need to put the equation into slope-intercept form: y = mx + b

the term mx is the slope of the line, and b is the y-intercept

to do this, you need to solve for y, so get y by itself by subtracting 8x from the left side

8x + 4y = -4

-8x. -8x

4y = -8x - 4

divide both sides by 4 to get y alone

4y/4 = y

-8x/4 = -2x

-4/4 = -1

y = -2x - 1 is the final equation

the slope of the line is -2 (also can be said as -2/1), and the line intercepts the y-axis at (0,-1)

borishaifa [10]3 years ago

3 0

Answer:

The y-intercept is y=-1

the slope is m=-2

Step-by-step explanation:

The general equation of the line is:

y = mx +b, where "m" represents the slope.

In this case, we need to divide the whole equation by 4 in order to get an equation similar to the general equation of the line:

8x + 4y = -4 , dividing the whole equation by 4 we get:

2x + y = -1 , solving for y we have: y = - 2x -1. Then the slope is m=-2.

To find the y-intercept we need to make x=0

y = -2(0) - 1 = -1

The y-intercept is y=-1

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The sum of three consecutive odd numbers is 39. What is the smallest of these numbers?

saw5 [17]

Answer:

Possibly 3.

Step-by-step explanation:

A consecutive odd number that adds up to 39 and is the smallest (not including 1) is 3.

13, 3's equals to 39.

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3 years ago

Whats the slope in y=−5−12x.?

jek_recluse [69]

Answer:

-12

Step-by-step explanation:

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3 years ago

Read 2 more answers

Julie will build a rectangular pen for her dog against a barn. A wall from the barn will form one side of the pen. She has 32 m

MAXImum [283]

Answer:

<h3> The width (side perpedicular to the barn): <u>x = 8 m</u></h3><h3> The lenght (side parallel to the barn): <u>y = 16 m</u> </h3>

Step-by-step explanation:

x - the width of the barn

She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:

y = 32 - 2x

Area of the fencing: A = x•y

A(x) = x•(32 - 2x)

A(x) = -2x² + 32x ← quadratic function

The maximum value of quadratic function occurs at: $x=-\frac b{2a}$

a = -2, b = 32

$x=-\frac b{2a}=-\frac{32}{2\cdot(-2)}=-(-8)=8$

32-2x = 32 - 2•8 = 16

4 0

3 years ago

Compare the integers, and write the integer with the greater value.<br> -8, -(-6)

uysha [10]

Answer:

-8 is negative and -(-6) is positive. Both are whole numbers. -(-6) is the greater value.

Step-by-step explanation:

-(-6) is the greater value because it equals 6, which is greater than -8 on the number line.

5 0

3 years ago

Let f(x)=x^3-x-1

alexira [117]

$f(x) = x^3 - x - 1$

To find the gradient of the tangent, we must first differentiate the function.

$f'(x) = \frac{d}{dx}(x^3 - x - 1) = 3x^2 - 1$

The gradient at x = 0 is given by evaluating f'(0).

$f'(0) = 3(0)^2 - 1 = -1$

The derivative of the function at this point is negative, which tells us <em>the function is decreasing at that point</em>.

The tangent to the line is a straight line, so we will have a linear equation of the form y = mx + c. We know the gradient, m, is equal to -1, so

$y = -x + c$

Now we need to substitute a point on the tangent into this equation to find c. We know a point when x = 0 lies on here. To find the y-coordinate of this point we need to evaluate f(0).

$f(0) = (0)^3 - (0) - 1 = -1$

So the point (0, -1) lies on the tangent. Substituting into the tangent equation:

$y = -x + c \\\\ -1 = -(0) + c \\\\ -1 = c \\\\ \text{Equation of tangent is } \boxed{y = -x - 1}$

6 0

3 years ago