The pair of points (6,y) and (10,-1) lie on a line with a slope 1(over)4. What is the value of y?

Answers

Answer 1

Answer: The formula for Slope is m = $(y_2 - y_1)/(x_2 - x_1)$ where m is the slope and the x's and y's are your given coordinates. So, plug the given information into the formula and solve for y.

m = $(y_2 - y_1)/(x_2 - x_1)$ Plug in the given values
$(1)/(4)$ = $(-1 - y)/(10 - 6)$ Cross multiply
10 - 6 = -4 - 4y Subtract
4 = -4 - 4y Add 4 to both sides
8 = -4y Divide both sides by -4
-2 = y Swich the sides to make it easier to read
y = -2

Check your answer by plugging -2 back into the equation with the other values.

[tex] \frac{1}{4} [/tex] = $(-1 - (-2))/(10 - 6)$ Simplify the double negative
$(1)/(4)$ = $(-1 + 2)/(10 - 6)$ Simplify the numerator and denominator
$(1)/(4)$ = $(1)/(4)$

Since both sides equal each other, y = -2.

Answer 2

Answer: Use the formula to find the slope which is m= y2-y1 over x2-x2. The equation would look like 1/4= -1 -y over 10-6. First, you do the subtraction in the denominator and you get 4. The equation would look like 1/4=-1-y over 4.

Then, you multiply the 4 to both side in order to get rid of the fraction from the equation. You would then have 1=-1-y. You add -1 to both side and you would have 2=-y. Since the variable cannot be negative, you divide -1 from both side and get -2=y. Therefore the answer is y=-2.

Hope this helps.

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Hello! I could use some help with this algebra question:)

Answers

Answer:

f(-2) = -14

f(4) = -13

Step-by-step explanation:

(in picture)

The decimal -2.97 is the solution to which subtraction problem?

Answers

Answer:

-6.1-(-3.13) is the equation that equals -2.97

Step-by-step explanation:

Answer:

2.97

Step-by-step explanation:

I had the question

last week, Donnell practiced the piano 3 hours longer than Marcus. Together, Marcus and Donnelly practiced the piano for 11 hours. For how many hours did each young man practice the piano?

Answers

Donnell practiced for 7 hours while Marcus practices the piano for 4 hours.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of hours piano played by Donnell is D while by Marcus is M.

Then,

Since Donnell practiced the piano 3 hours longer than Marcus.

D = 3 + M ⇒ D - M = 3

And,

Together, Marcus and Donnelly practiced the piano for 11 hours.

D + M = 11

By adding

2D = 14

D = 7

And,

M = 11 - 7 = 4

Hence "Donnell practiced for 7 hours while Marcus practices the piano for 4 hours".

For more about the equation,

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Let the number of hours Donnell practiced be d
and the number of hours Marcus practiced be m.
We can set up a system of equations.
d = m + 3
m + d = 11
Substitute the value of d that's in the first equation, into the second equation.
m + (m + 3) = 11
2m + 3 = 11
2m = 8
m = 4
Marcus practiced for 4 hours. Since Marcus and Donnell, together, practiced 11 hours, Donnell practiced for 11-4=7 hours.

Write the ordered pair that represents YZ then find the magnitude of YZ Y(4,2) Z(2,8)