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vivado [14]
2 years ago
7

A line that includes the point (4, 7) has a slope of 3. What is its equation in slope-intercept form?

Mathematics
1 answer:
vampirchik [111]2 years ago
4 0

Answer: slope intercept is solve for y

Step-by-step explanation:

point slope

y-y1=m(x1,y1) and the slope is m

given

slope=3

a point i (4,7)

y-7=3(x-4)

solve for y

y-7=3x-12

add 7 both sides

y=3x-5 is slope intercept form

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What is the range of y = –5sin(x)?
sergejj [24]

Answer:

-5\leq y\leq5  is the required range.

Step-by-step explanation:

We have been given a function:

y=-5sin(x)

The range of sin x is -1\leq sinx\leq1

multiply -5 in each term of the above equation.

-1(-5)\geq -5sinx\geq-5

\Rightarrow 5\geq -5sinx\geq-5

Hence, the required range is:

-5\leq -5sinx\leq5

replace -5sinx by y so, we get:

-5\leq y\leq5


4 0
3 years ago
Read 2 more answers
Line L1 passes through points P(n,4) and Q(1,-2). Line L2 passes through R(4,3) and S(1,5). What is the value of n if the lines
Elena L [17]

Answer:

<h3>n = -8</h3>

Step-by-step explanation:

For two lines to be parallel, they must have the same slope

Get the slope of each line

For L1;

m1 = -2-4/1-n

m1 = -6/1-n

For L2;

m2 = 5-3/1-4

m2 = 2/-3

m2 = -2/3

Since they have the same slope, m1 = m2

-6/1-n = -2/3

6/1-n = 2/3

Cross multiply

2(1-n) = 6(3)

2-2n = 18

-2n = 18 - 2

-2n = 16

n = -16/2

n = -8

Hence the value of n is -8

4 0
2 years ago
Graph ​ y−5=−23(x+9) ​ using the point and slope given in the equation. Use the line tool and select two points on the line.
jarptica [38.1K]
Maybe try (-9, 6) and (-9,5) 
i think it may be correct
7 0
3 years ago
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What is the equation of the horizontal line through (1,9)
stealth61 [152]

Answer:

slope=9

Step-by-step explanation:

the slope is 9, because you do the y/x or rise over run, so you do for every 9 up 1 right to get a slope of 9/1 or 9

3 0
3 years ago
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What is the solution to the compound inequality in interval notation?
Eduardwww [97]
First solve the 2 inequalities for x:-

x > 0  or x <= -5


The last choice is the correct one.
5 0
3 years ago
Read 2 more answers
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