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Karo-lina-s [1.5K]
3 years ago
10

Whats the slope of the line?

Mathematics
1 answer:
TiliK225 [7]3 years ago
6 0

Answer:

m = rise/run = 4/5.

Step-by-step explanation:

This line goes throught the "exact" grid intersections (-2, 0) and (3, 4).  As we move from the first point to the second, we see that x increases by 5 (this is the 'run') and y increases by 4 (this is the 'rise').  Thus, the slope of this line is m = rise/run = 4/5.

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Help fast please ! Match the graph go one of the exponential functions
lara [203]

Answer:

f(x)=(\frac{1}{4} )^{x} +4

Step-by-step explanation:

The way I did this was I noticed that the graph had a y-intercept of 4 and the only exponential function that had a y-intercept of 4 was f(x)=(\frac{1}{4} )^{x} +4

3 0
2 years ago
A class has 35 students, of which 16 are male and 19 are female. If 6 of the students are selected at random to form a committee
madreJ [45]

Answer:

The probability of choosing exactly 2 male and 4 female students =\frac{\binom{16}{2}\times \binom{19}{4}}{\binom{35}{6}}

Step-by-step explanation:

We are given that a class has 35 students

Number of male=16

Number of female=19

We have to choose 6 students for committee

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Probability=P(E)=\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}

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nC_r=\frac{n!}{r!(n-r)!}

Using the formula

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5 0
2 years ago
What is the equation, in slope-intercept form, of the line
Sati [7]

<u>Given</u>:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

<u>Slope of the given line:</u>

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the coordinates (-1,3) and (2,2), we get;

m_1=\frac{2-3}{2+1}

m_1=-\frac{1}{3}

Thus, the slope of the given line is m_1=-\frac{1}{3}

<u>Slope of the perpendicular line:</u>

The slope of the perpendicular line can be determined by

m_2=-\frac{1}{m_1}

Substituting m_1=-\frac{1}{3}, we get;

m_2=-\frac{1}{-\frac{1}{3}}

simplifying, we get;

m_2=3

Thus, the slope of the perpendicular line is 3.

<u>Equation of the perpendicular line:</u>

The equation of the perpendicular line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting m=3 and the point (2,-1) in the above formula, we have;

y+1=3(x-2)

y+1=3x-6

     y=3x-7

Thus, the equation of the perpendicular line is y=3x-7

Hence, Option d is the correct answer.

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3 years ago
Convert the measurements 66,597 grams = how many kgs
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