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Reptile [31]
3 years ago
8

Write the equation in slope-intercept form of the line that contains the points (4, -7) and (0, 5).

Mathematics
2 answers:
ruslelena [56]3 years ago
8 0
Find Slope:
Slope = (5 + 7)/(0 - 4) = -12/4 = -3

Sub slope into general equation:
y = -3x + c 

Find y-intercept:
at (0,5),
5 = -3(0) + b
b = 5

Equation :
y = -3x + 5

Answer: y = -3x + 5
LenaWriter [7]3 years ago
4 0
The slope intercept form is y=mx+b
The slope formula is m=(y2-y1)/(x2-x1)
So; 5-(-7) / 0-4= -3
Then you use one of the points to find b; I’ll use 0 and 5 (the first number is x and the second number is y)
5=(-3)(0)+b
5=0+b
5=b
Finally you plug in your two values
Y= -3x+5

Hope this helps :)

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Read 2 more answers
If the function f(x) = -1/2x - 7 were graphed, which of the following would be true?
Fittoniya [83]
ANSWER

D. As the x-values increase, the y-values would decrease

EXPLANATION

The given function is
y =  -  \frac{1}{2} x - 7


The slope of this function is
m =  -  \frac{1}{2}

Since the slope is negative, there is a negative or an inverse relationship between x and y.

As the values of x increases, the values of y decreases.

Also, as the values of x decreases, the values of y increases.

The first option is not true because as x is becoming bigger and bigger negatively, y will become positive.

For instance, when
x =  - 40
y =  -  \frac{1}{2} ( - 40) - 7


This implies that,

y = 20 - 7 = 13

Options B is obviously not true because the function has a negative relationship between x and y.


Option C is also false because, x can be positive since it is the independent variable.

See graph



Therefore, the correct answer is option D.




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3 years ago
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3 years ago
Let u = <3, -1>, v = <-6, -6>. Find 9u + 2v.
Gnom [1K]
9u means you're multiplying 9 into that vector, both components.  Same with the 2v.  9*3 = 27 and 9*-1 = -9, so your new vector u is <27, -9>.  Now let's do v.  2* -6 (twice) = -12, so your new v vector is <-12, -12>.  Add those together now, first components of each and second components of each.  27 + (-12) = 15; -9+(-12)=-21.  So the addition of those gives us a final vector with a displacement of <15, -21>
5 0
3 years ago
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