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Mazyrski [523]
3 years ago
5

write in slope intercept form an equation of the line that passes through the given points (-2,3) (2,7)​

Mathematics
1 answer:
yarga [219]3 years ago
3 0
1. Slope = Yb - Ya / Xb - Xa
= 7-3/2-(-2)
= 7-3/2+2
= 4/4
= 1

2. Y-intercept
Y = mx + b
7 = (1)(2) + b
7 = 2 + b
7 - 2 = 2-2 + b (two’s cancel out and we are just left with our b on the right side)
5 = B

Therefore, the equation is: Y = 1x + 5 which is also the same thing as: Y= X +5.
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Mary spent half of her allowance going to the movies. She washed the family car and earned seven dollars. What is her weekly all
Nata [24]

Answer:If Mary spent half of her allowance the equation will begin with 1/2x or 0.5x where x is her allowance and 0.5 is half of her allowance spent. Mary also earned 7 dollars by washing the car so this will be added to her allowance spent.

The problem says that after Mary has spent half of her allowance at the movies she was left with 18 dollars so that means that the equation must be equal to 18.

The equation you want to set up is

0.5x+7=18

Where, 18-7=11

0.5x=11

11/.5 = x

x = $22

Thus, Mary has a weekly allowance of 22 dollars.

Step-by-step explanation:

4 0
2 years ago
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On a number line, A is at 5 and B is at 50. Point X is the midpoint. Point T is 2/3 of the way from X to B. Determine the coordi
Lemur [1.5K]

Number lines are used to represent points at regular interval.

The coordinate of point T on the number line is: 46.5

Given that:

A =5

B = 50

The coordinate of X at the midpoint is:

X = \frac{B + A}{2}

So, we have:

X = \frac{50+5}{2}

X = \frac{55}{2}

X = 27.5

Point T is at 2/3 from X to B.

The coordinate of T is calculated using:

T = X + \frac 23 (B - X + 1)

So, we have:

T = 27.5 + \frac 23 (55 - 27.5 + 1)

T = 27.5 + \frac 23 (28.5)

T = 27.5 + 19

T = 46.5

<em>Hence, T is located at 46.5</em>

Read more about number lines at:

brainly.com/question/18611090

6 0
2 years ago
The difference of the present ages of two sister in 5 yrs
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Answer:

4 and 9

Step-by-step explanation:

let their ages be x and x - 5, then in 4 years their ages will be

x + 4 and x - 5 + 4 = x - 1 , and the product is 104, thus

(x + 4)(x - 1) = 104 ← expand factors on left using FOIL

x² + 3x - 4 = 104 ( subtract 104 from both sides )

x² + 3x - 108 = 0 ← in standard form

(x + 12)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 12 = 0 ⇒ x = - 12

x - 9 = 0 ⇒ x = 9

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