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3 years ago

What is an equation of the line that passes through the point (8,-1) and (4,-1)?

Mathematics

1 answer:

GalinKa [24]3 years ago

7 0

Answer:

Step-by-step explanation:

We can start with the general form of the equation for a straight line (may we assume this is a straight line?): y=mx+b. m is the slope (the rate of change of y for a change in x) and b is the y-intercept (the value of y when x=0).

Slope is the Rise of the line (the y axis) and Run is the change in the x axis to create the change in y. The slope is the Rise/Run, which we can find if we have two points on the line.

(8,-1) and (4,-1) will gives us the information to find the slope, m. The Rise is the change in y:

(-1-(-1)) = 0 !!!! It doesn't matter what the change in x is - the slope will be zero. It it weren't zero, it would be calculated as (8 - 4) or 4. The Rise/Run is 0/4 or 0 for this line. It is a flat line! The equation:

y=mx+b

y = 0x + b

y = b

This tells us the value of y will be the y-intercept, which is -1. Y is the same regardless of the value of x.

The equation is y=-4

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A rectangle is such that the length of 2 of each adjacent sides are in the ratio 1:3. A similar rectangle has 1 side of 6cm. Fin

Sliva [168]

Answer:

18 cm ;

2 cm

Step-by-step explanation:

Length of each adjacent side = 1 :3

If 1 side = 6 ; the possible values of the adjacent side ;

That is side 2 ÷

If side 1, which is 6cm is the ratio 1 ; then side 2 = 6cm * 3 = 18 cm

If side 1, which is 6cm is the ratio 3 ; then side 2 = 6cm / 3 = 2 cm

Hence, the two Possible values of the adjacent side = 18 cm or 2 cm

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2 years ago

Plot (−2 3/4, −4 1/2) on the coordinate plane.

Makovka662 [10]

Because -2 3/4 is on the x axis, it is the diagonal one, -4 1/2 is on the y axis it’s vertical.

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3 years ago

Solve the system using substitution x+5y=0 3y+2x=-21

Crazy boy [7]

Answer:

$\left \{ {{x = -15} \atop {y=3}} \right.$

Step-by-step explanation:

$\left \{ {{x + 5y = 0} (1) \atop {3y + 2x = -21}(2)} \right. \left \{ {{x = -5y} \atop {3y + 2x = -21}} \right. \left \{ {{x = -5y} \atop {3y + 2*(-5y) = -21}} \right. \left \{ {{x = -5y} \atop {3y - 10y = -21}} \right. \\ \left \{ {{x = -5y } \atop {-7y = -21}} \right. \left \{ {{x = -5y} \atop {y= 3 }} \right. \left \{ {{x = -5 * 3} \atop {y=3}} \right.=> \left \{ {{x=-15} \atop {y=3}} \right.$

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2 years ago

Read 2 more answers

What is?<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7By%7D%20%20%2B%20x" id="TexFormula1" title=" \frac{x}{y} + x"

Fiesta28 [93]

Answer:

$\frac{x+xy}{y}$

Step-by-step explanation:

Given

$\frac{x}{y}$ + x

Multiply x by $\frac{y}{y}$ to create a common denominator

= $\frac{x}{y}$ + x × $\frac{y}{y}$

= $\frac{x}{y}$ + $\frac{xy}{y}$

= $\frac{x+xy}{y}$

7 0

3 years ago

question 17 on a number line, point s is located at – 3 and point t is located at 9 . what is the location of point r on s t giv

KATRIN_1 [288]

The location of R on the number line will be 15/7.

Number line:

Number line is used for the visual representation of numbers on a straight line.

Basically, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.

Given,

On a number line,

point S is located at – 3 and

point T is located at 9.

Ratio of S and T = 3:4

We need to find the location of point R on S and T.

According to the given details,

The distance from S to T

=> 3 + 9 = 12

Through this we know that,

=> SR + RT = 12 ---------------------(1)

Based on the ratio,

S/T = 3/4

Which is similar to,

SR/RT = 3/4

So,

SR = 3/4 RT -----------(2)

Apply the value of SR on equation (1),

Then

3/4RT + RT = 12

=> 7/4 RT = 12

=> RT = 12 x (4/7)

=> RT = 48/7

Now the location of point R,

=> OT - RT = 9 - 48/7

=> 15/7

Hence "The location of R on the number line will be 15/7".

To know more about Number line Here

brainly.com/question/13425491

#SPJ4

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1 year ago