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DedPeter [7]
1 year ago
6

8th grade math equation of the line in slope intercept form what would a graph look like if a line that contains the point 4,-6

and has a slope of 3/4

Mathematics
1 answer:
Lynna [10]1 year ago
6 0

slope = m = 3/4

Point(4, -6)

Line equation in slope intercept form: y = mx + b

In this case we know m = 3/4, so we have to find "b" using the point coordinates:

y = (3/4)x + b

-6 = (3/4)4 + b

-6 = 3 + b

b = -6 -3 = -9

b = -9

Line equation: y = (3/4)x - 9

Answer:

y = (3/4)x - 9

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djverab [1.8K]

26+30+45+43+26+14+28+33+56+29 = 330

330/10 (numbers) = 33!

5 0
2 years ago
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a point on a perpendicular bisector is 7cm from each endpoint of the bisected segment and 5cm from the point of intersection. Wh
love history [14]

9514 1404 393

Answer:

  about 9.80 cm

Step-by-step explanation:

The length of half the segment (h) can be found from the Pythagorean theorem:

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8 0
3 years ago
Convert the polar coordinates (-3, -60°) to Cartesian coordinates.
notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x

#Using the illustration above, we can express our polar coordinates as:

-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}

#Solve simultaneously to solve for x and y:

(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\  y \ in\  i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6

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6 0
3 years ago
A grocer has two kinds of tea, one selling for 80 cents per pound and the other selling for 60 cents per pound. How many pounds
ruslelena [56]
X*80+y*60= 50*74
x      +y      =50            | * ( -60)

80x  + 60y= 50*74
-60x  - 60y=-50*60
---------------------------
20x= 50*(74-60)=50*14
x=50*14/20=35 pounds of 80 cents tea
y=50-35=15 pounds of 60 cents tea
8 0
3 years ago
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julia-pushkina [17]

Answer:

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Step-by-step explanation:

7 0
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