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4 years ago

What is the y intercept of a graph containing the two points (3,1) and (7,-2)?

Mathematics

1 answer:

svetlana [45]4 years ago

6 0

Answer:

3.25

Step-by-step explanation:

The slope of the line is ∆y/∆x = (-2-1)/(7-3) = -3/4.

The point-slope form of the line with slope m through (h, k) is ...

y -k = m(x -h) . . . . . . . . . . we have m=-3/4, (h, k) = (3, 1)

y -1 = -3/4(x -3)

The y-intercept is the point on the line where x=0. For x=0, the value of y is ...

y = -3/4(-3) +1 = 9/4 +4/4

y = 13/4 = 3 1/4

The y-intercept is 3 1/4.

You might be interested in

The front of a garage needs to be painted. The total area except for the door will be painted. The door is 1.5 m high and 2 m wi

Sever21 [200]

Answer:

The answer for A is $7.85m^{2}$ .

The answer for B is 4 cans.

The answer of C is $98.

Step-by-step explanation:

A-

Multiply 2.5 by 3.5 and you'll get 8.75 Multiply 3.5 by 1.2 and you'll get 4.2; divide and your answer will be 2.1 Add to 8.75 Get 10.85 Subtract from area of door ( 3m because 1.5 times 2 is 3) and you'll get 7.85

B-

Divide 7.85 by 2.5 and you'll get 3.104; round that and you'll get 4 cans.

C-

Multiply the amount of cans (4) by 24.5. Do this and you'll get $98.

Hope this was helpful!!!

8 0

3 years ago

Find (a) the value of q in radians (b) the area of the shaded region in cm²

Tresset [83]

Answer:

(a) 1.18

(b) 99.71

Step-by-step explanation:

to know the value of q in degrees we can use cosine of q

$\cos (q) = \frac{OR}{OQ}\\\\\cos (q) = \frac{5}{13}\\\\q = \cos^{-1}(\frac{5}{13})\\\\q \approx 67.38$

now to radians

the formula is

$x\times\frac{2\pi}{360}\\\\$

with x the degrees

$67.38\times \frac{2\pi}{360}\\\\=\frac{67.38\pi}{180}\\\\\approx 0.374\pi\\\\\approx 1.18$

so the measure of angle q is 1.18 radians

so now for part b

$A = \frac{r^2 \alpha }{2}\\\\$

with $\alpha$ being the central angle in radians

for degrees is the following

$A = \frac{\theta}{360}\times \pi r^2$

so we have

$A = \frac{13^2 (1.18)}{2}\\\\A = 99.71$ cm^2

4 0

3 years ago

Kaylie buys a sweater on sale for 40.11 if the discount is 20% off and she pays 1.91 in sales tax what is the original price of

aliya0001 [1]

The price before discount is: 40.11 : 80%= 50.1375
The tax before sales is 1.91 : 80%= 2.3875
And the original price of the sweater is 50.1375+ 2.3875= 52.525
The original price is $52.525

7 0

4 years ago

Read 2 more answers

Helpppppppppppppppppppppppppppp

LenaWriter [7]

Answer:

1,092 square cm

Step-by-step explanation:

I hope this helps you.

Area of a triangle = 1/2base x perpendicular height so...

1/2(26) x (8) = 104

104 x no. of sides (4) = 416