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eduard
2 years ago
11

A line that passes through the point (x,y) with a y-intercept of b and a slope of m can be represented by the equation y = mx +

b.
Natasha drew a line on the coordinate plane that passes through the point (15,13) and has a y-intercept of -8. What is the slope, m, of the line?
Mathematics
1 answer:
yKpoI14uk [10]2 years ago
6 0

A slope is also known as the gradient of a line. The slope of the line is 1.4.

<h3>What is Slope?</h3>

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

Natasha drew a line on the coordinate plane that passes through the point (15,13) and has a y-intercept of -8. Since the coordinate of a point on the line is known the value of the y-intercept is known, therefore, we can write,

13 = m15 - 8

13 + 8 = 15m

21 = 15m

m = 7/5 = 1.4

Hence, the slope of the line is 1.4.

Learn more about Slope of Line:

brainly.com/question/14511992

#SPJ1

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Kevin noticed that half of the feral brands in the store cost more then $3.33, would you use mean, medium, mode, or range... Exp
NeX [460]
Ok first you mean median and 2 I think you would use because if you are make a statement about half the store then you are going to use the range
5 0
4 years ago
Point L is on line segment KM. Given LM = 3x + 3,
iris [78.8K]

Answer:

KM = 4

Step-by-step explanation:

LM = 3x + 3

KM = 5x + 4

KL = 5x + 1

KL + LM = KM (segment addition postulate)

(5x + 1) + (3x + 3) = 5x + 4 (substitution)

Solve for x

5x + 1 + 3x + 3 = 5x + 4

Combine like terms

8x + 4 = 5x + 4

8x + 4 - 4 = 5x + 4 - 4

8x = 5x + 0

8x - 5x = 0

3x = 0

x = 0

KM = 5x + 4

Plug in the value of x

KM = 5(0) + 4

KM = 0 + 4 = 4

7 0
3 years ago
The question: a computer manufacturer built a new facility for assembling computers. there were construction and new equipment c
DiKsa [7]

Answer:

The equation that closely represents the graph is \mathbf{y=60x-160}

Option A is correct.

Step-by-step explanation:

We need to find equation that represents the graph.

We can write equation in slope-intercept form: y=mx+b where m is slope and b is y-intercept.

For finding the equation we need to find slope and y-intercept

Finding slope

The slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

From the graph we can find x_1=0, y_1=-160, x_2=1, y_2=-100

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-100-(-160)}{1-0} \\Slope=\frac{-100+160}{1}\\Slope=-100+160\\Slope=60

We get Slope = 60

Finding y-intercept

Using point (0,-160) and slope m = 60, we can find y-intercept

y=mx+b\\-160=60(0)+b\\b+0=-160\\b=-160

Writing the equation

So, the equation for given graph having slope m = 60 and y-intercept b =-160 is:

y=mx+b\\y=60(x)+(-160)\\y=60x-160

So, The equation that closely represents the graph is \mathbf{y=60x-160}

Option A is correct.

7 0
3 years ago
3q+4+9=-14 <br> what is Q
BlackZzzverrR [31]

Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

\huge{3q+4+9=-14}

We can add 4 and 9 together.

\huge{3q+13=-14}

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

\huge{3q+13-13=-14-13}\\\huge{3q=-27}

We are reaching to the final step where we divide the whole equation by 3.

\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!

To check the answer, simply substitute q = -9 in the equation.

\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

5 0
3 years ago
Lines b and c are parallel. What is the measure of angle 6?
Lemur [1.5K]

Answer:

I think

Step-by-step explanation:

it is answers is m is 117

7 0
3 years ago
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