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defon
3 years ago
8

What is the point-slope form of an equation with the slope of 3/5 that passes through the point (10, –2)?

Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0
Hello,

y+2=3/5(x-10)

or
y=3/5 x -8


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Please help Need help
Anettt [7]
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
   y-2 = -4(x-1)  
   which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
   this is the same as the previous equation, so it passes through B(1,2), 
   this equation is ok.

Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
8 0
3 years ago
The diagram represents an enlargement of a rectangle by a scale factor of 4,
Lapatulllka [165]

Answer:D 16inches by 8 inches

Step-by-step explanation:

3 0
3 years ago
18+2(4-1) equation please help!
77julia77 [94]

Answer:

18+2(4−1)

=18+(2)(3)

=18+6

=24

8 0
3 years ago
Construct a quadratic equation whose roots are -2\3 and 5
Vladimir79 [104]
_Brainliest if helped!

Roots -2/3 and 5 Means X=-2/3 or X=5
Hence the equation would be
(X+2/3)(X-5)=0
(3X+2)(X-5)=0
3X^{2}  +2X -15X -10 = 0 

Answer : 3X^{2} -13X-10=0
4 0
3 years ago
Two rectangles are similar. One has a length of 11 cm and a width of 10 cm, and the other has a width of 7 cm. Find the length o
amm1812
7.7 cm Because the sides of similar figures are in direct proportion to each other
6 0
3 years ago
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