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2 years ago

What is the point-slope form of a line that has a slope of –4 and passes through point (–3, 1)?

Mathematics

1 answer:

svet-max [94.6K]2 years ago

7 0

Answer:

y - 1 = - 4(x + 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 4 and (a, b) = (- 3, 1), thus

y - 1 = - 4(x - (- 3)), that is

y - 1 = - 4(x + 3)

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1 year ago

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2 years ago

What is the value of the expression x + (–y) when x = –2.3 and y = –5.9? A. –8.2 B. –3.6 C. 3.6 D. 8.2

11Alexandr11 [23.1K]

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2 years ago

Six times blank equals what

miskamm [114]

Answer: 6 x 8=48

Step-by-step explanation:

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3 years ago

Anthony earned $131 in tips last night while working at the restaurant. If his tips consisted of $1 bills and $5 bills only and

Nadya [2.5K]

Answer:

Step-by-step explanation:

Let x = $1 bill

Let y = $5bill

Translating the word problem into an algebraic equation;

For the total number of bills;

$x + y = 47$ .........equation 1

For the total number of tips;

$x + 5y = 131$ ..........equation 2

*Solving the linear equation by using the substitution method*

Making x the subject in equation 1:

$x = 47 - y$ .......equation 3

Substituting "x" into equation 2;

$(47 - y) + 5y = 131$

Simplifying the equation, we have;

$47 + 4y = 131$

$4y = 131 - 47$

$4y = 84$

$y = \frac {84}{4}$

y = 21 (For the $5 bills).

Therefore, Anthony received 21 pieces of the $5 bills.

To find x;

Substituting "y" into equation 3;

$x = 47 - 21$

x = 26 (For the $1 bill).

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2 years ago