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svlad2 [7]
3 years ago
15

Write an equation in point-slope form of the line that passes through the given point and with the given slope m.

Mathematics
2 answers:
denis23 [38]3 years ago
7 0

Answer:

y = 4x + 39

Step-by-step explanation:

  • The line passes through point (-8,7) and;
  • Has a slope (m) = 4

Let's take another point (x,y) on the line.

Slope (m) = change in y ÷ change in x

∴ m = \frac{y - 7}{x - -8} = 4

y = 4x + 32 + 7

y = 4x + 39

Svetach [21]3 years ago
5 0

Step-by-step explanation:

y-y1=m(x-x1)

y-7=4(x+8)

y-7=4x+32

4x-y=-39

You might be interested in
What is the equation in point slope form of the line that passes through the points (7,5) and (-4, -1)
vlada-n [284]

Answer:

The point slope form is: (y - 5) = 6/11(x - 7)

Step-by-step explanation:

Giving points are: (7, 5) and (-4, -1)

Find the slope m:

m = (y - y1)/(x - x1)

m = (5 - (-1))/(7 - (-4))

m = 5 + 1/7+ 4

m = 6 / 11 = 6/11

Use the point slope form with point (7, 5) and solve for y:

(y - y1) = (x - x1)

(y - 5) = 6/11(x - 7) - this is the point slope form

y - 5 = 6/11x - 42/11  

y = 6/11x - 42/11 + 5

y = 6/11x - 42/11 + 55/11

y = 6/11x + 13/11 - This is the y intercept form

Proof, use (7, 5):

f(x) = 6/11x + 13/11

f(7) = 6/11(7) + 13/11

= 42/11 + 13/11

= 55/11 = 5, giving (7, 5)

6 0
3 years ago
A decent-sized square plot of land in town is one acre. If Mr. Pearson wants to play football with his son Connor, then how far
sammy [17]
One acre of land is equal to 4046.86 sq.m.
To know how far they can throw the ball from corner to corner can be interpreted in two ways: throwing the ball diagonally across the field or throwing the ball horizontally across the field. For the first question, since the field is a square, you can use the equation Diagonal of Square = A x sq.root of 2.

In this case, the answer would be 89.97 m.

If the ball is thrown horizontally across the field, then you would only need to know the length of one side of the square, which is the square root of the area. Doing this would give you the answer 63.61 m.
4 0
4 years ago
Read 2 more answers
A line passes through (6, 3), (8, 4), and (n, -2). Find the value of n.
timurjin [86]

Answer:

n = -4

Step-by-step explanation:

Notice how in the previous examples they all divide by 2? It is the same case here. So now the question is... "what" divided by "2" is "-2".

Let me show you:

n ÷ 2 = -2

if you know your integer math, you should know that...

-4 ÷2 = -2 (this is the correct equation)

8 0
1 year ago
Find the exact value for x leaving your answer as a surd with a rational denominator where appropriate :
lesya [120]

Answer:

x = 10\sqrt{3}

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = \frac{\sqrt{3} }{2} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{x}{20} = \frac{\sqrt{3} }{2} ( cross- multiply )

2x = 20\sqrt{3} ( divide both sides by 2 )

x = 10\sqrt{3}

3 0
3 years ago
Which is the equation of a line that has a slope of -2/3 and passes through point (-3,-1)?
Fantom [35]

Answer:


Step-by-step explanation:

You have to use Point Slope Form:

  • y - Y1 = m (x - X1)
  • m is the slope
  • Y1 & X1 is a point on the line
  • The form allows you to identify the slope & the point on the line

About Problem:

  • Since -2/3 is the slope, it represents m in y - Y1 = m (x - X1) form.
  • -3 represents X1 in y - Y1 = m (x - X1) form
  • -1 represents Y1  in y - Y1 = m (x - X1) form

y - Y1 = m (x - X1)

y - -1 = -2/3 (x - -3)  ---- This is in Point Slope Form

If you want to solve it, & put it in Slope Intercept form, it would look like this:

y = mx + b

y = -2/3 - 2 --- This is in Slope intercept Form.... I might've solved it wrong... I'm not sure...


Really really sorry if I'm incorrect...




5 0
3 years ago
Read 2 more answers
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