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Dahasolnce [82]
3 years ago
13

What is the slope m and the y-intercept b of the graph of 8x - 3y = 10?

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0
The slope-intercept form: y = mx + b

m - a slope
b - y-intercept

8x - 3y = 10    |subtract 8x from both sides

-3y = -8x + 10    |divide both sides by (-3)

y = 8/3 x - 10/3

Answer:
The slope: m = 8/3
The y-intercept: b = -10/3
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¿Cuál de las siguientes funciones es una función constante? Seleccione una: a. Y=x+1 b. Y=x+2 c. X=y+3 d. Y=3
JulijaS [17]

Answer:

Option D y=3

Step-by-step explanation:

The question in English is

Which of the following functions is a constant function?

we know that

A <u>constant function</u> is a function whose output value is the same for every input value

so

<u><em>Verify each case</em></u>

case A) y=x+1

This is not a constant function, this is a linear equation

Is a function whose output value is different for every input value

case B) y=x+2

This is not a constant function, this is a linear equation

Is a function whose output value is different for every input value

case C) x=y+3

This is not a constant function, this is a linear equation

Is a function whose output value is different for every input value

case D) y=3

This is a constant function

Is a function whose output value is the same for every input value

3 0
3 years ago
Find the slope of the line y= -2/3x
kodGreya [7K]
The slope is -2/3.
_______________________________


Explanation:

y=mx+b

m= slope

-2/3=m
3 0
3 years ago
Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of
drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

or

y + 5 = 3/4 x

so, the last option is correct.

3 0
2 years ago
If f(x) = 3x - 2 and g(x) = 2x + 1, find (f+ g)(x).
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The answer would be
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3 years ago
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