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coldgirl [10]
3 years ago
12

what is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of 3/4?

Mathematics
1 answer:
Troyanec [42]3 years ago
3 0
Y = mx + b
slope(m) = 3/4
(5,-4)...x = 5 and y = -4
now we sub
-4 = 3/4(5) + b
-4 = 15/4 + b
-4 - 15/4 = b
-16/4 - 15/4 = b
- 31/4 = b....or - 7 3/4 = b

so ur equation is : y = 3/4x + (-31/4) or y = 3/4x - 31/4
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Can someone show me how to do this?
andriy [413]
3/4 ( (-50+2)/5)
= 3/4 ( -48/5)
= 3/4 * -48/5
= -36/5
6 0
3 years ago
-x+y=15−x+y=15 and -5x-3y=27−5x−3y=27 <br> Solve the system of equations by combining the equations
Arisa [49]

Answer:

x = -9, y = 6.

Step-by-step explanation:

-x + y = 15

-5x - 3y = 27

From the first equation:

y = x + 15.

Substituting for y in second equation:

-5x - 3(x + 15) = 27

-8x - 45 = 27

-8x = 72

x = -9.

Now plug x = -9 into equation 1

-(-9) + y = 15

y = 15 -9 = 6.

8 0
3 years ago
Write the quadratic equation whose roots are 5 and -3, and whose leading coefficient is 1
kogti [31]
1. A quadratic equation has the following form: ax²+bx+c.
 
 2. The leading coefficient is the number that is attached to the variable with the highest exponent. Then, the "a" is the leading coefficient of the quadratic equation.
 
 3. The problem says that the leading coefficient is 1 (a=1) and the roots of the quadratic equation are 5 and -3. Then, you have:
 
 (x-5)(x+3)=0
 
 4. When you apply the distributive property, you obtain:
 
 x²+3x-5x-15=0
 x²-2x-15=0
 
 5. Therefore, the answer is:
 
 x²-2x-15=0
4 0
3 years ago
Can someone help me with this question?
Crazy boy [7]

Answer:

m<S' = 115

Step-by-step explanation:

A translation is when one shifts the image over on a coordinate plane. A translation doesn't affect the image itself. Hence m<S is the same as m<S'. Therefore m<S' = 115

4 0
3 years ago
Read 2 more answers
Sybil has 1/2 of a pizza left over. She wants to share the pizza with 3 of her friends. What fraction of the original pizza will
Helen [10]

Answer: \frac{1}{2\times3}=\frac{1}{6}\text{ of the original pizza.}


Step-by-step explanation:

Given: Sybil has 1/2 of a pizza left over.

If she share the pizza with 3 of her friends, to find the fraction of the original pizza will Sybil and her 3 friends each receive, we need to divide 1/2 by 3 we get

The  fraction of the original pizza will Sybil and her 3 friends each receive

=\frac{\frac{1}{2}}{3}=\frac{1}{2\times3}=\frac{1}{6}\text{ of the original pizza.}



6 0
3 years ago
Read 2 more answers
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