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3 years ago

What is an equation of the line in slope intercept form? m = 4 and the y-intercept is (0, 5) (1 point)?

Mathematics

2 answers:

pishuonlain [190]3 years ago

4 0

The equation for this is y= 4x+5

Lapatulllka [165]3 years ago

3 0

Answer:

$y=4x+5$

Step-by-step explanation:

Mathematically, the slope m of a line is:

$m=\frac{\Delta y}{\Delta x} = \frac{y-y_o}{x-x_o}$

Therefore, if we know the slope m of the line and a point $(x_o , y_o)$ we will be able to find its equation simply solving for y:

$y-y_o=m(x-x_o)$

Replacing the data provided by the problem:

$y-5=4(x-0)\\\\y-5=4x\\\\y=4x+5$

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Find all numbers such that three times the number is greater than eight less than the number.

klio [65]

Answer:

ALL SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.

Step-by-step explanation:

Here, assume such number = m

Now, given :

3 times the number = 3 x ( m) = 3 m

8 less than the given number = m - 8

Now, according to the question:

3 times the number > 8 less than the given number

or, 3 m > m - 8

or, 3m - m > m - 8 + m

or, 2 m > - 8

or, m > - 4

Hence, all SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.

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3 years ago

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Nadya [2.5K]

Answer:

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Step-by-step explanation:

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2 years ago

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How would you solve this problem? (Worth 10 points, pls help!)

mrs_skeptik [129]

Answer:

(22,0)

Step-by-step explanation:

1. Select any two points given and find their slope (rise/run)

(-38, 40) and (-23, 30)

slope = $\frac{40-30}{-38-(-23)}$ = - 2/3

2. Use the slope and one of the points to create an equation of the line in the format y = mx + b, where m = slope and b = y-intercept.

y = mx + b ⇒ 40 = -2/3 (-38) + b

3. Solve for b

40 = -2/3 (-38) + b

40 = 76/3 + b

40 - 76/3 = b

b = 44/3

4. To find the x-intercept, set y = 0, and solve.

y = -2/3 x + 44/3

0 = -2/3 x + 44/3

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Hope this helped!

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2 years ago

Math Help!!! How many x-intercepts does the graph of the function have?

dalvyx [7]

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An example is a polynomial function to the infinite degree. That is
f(x) = lim (n --> infinity) [ x^n]
but only 1 y intercept (vertical line test remember)

6 0

3 years ago

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nadya68 [22]

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