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Ksivusya [100]
3 years ago
10

Does the point (-4, 3) fall on the graph of this line? How do you know? Show your work. ( 2 points) PLEASE HELP ILL MARK BRAINLI

EST
Mathematics
1 answer:
Elanso [62]3 years ago
3 0

Answer:

Step-by-step explanation:

Since we know the line goes through points (8,9) and (2,4), we can construct a line in slope-intercept form

y = mx + b

where m is the slope and b is the Y-intercept.

The slope can be found using the two points provided:

\frac{y_{2} - y_{1}}{x_{2} - x_{1}}

\frac{9 - 4}{8 - 2}

\frac{5}{6}

The line is now represented as

y = \frac{5}{6}x + b

To solve for b, we can plug in one of the two points:

y = \frac{5}{6}x + b

(9) = \frac{5}{6}(8) + b

4 = \frac{20}{3} + b

b = \frac{-8}{3}

We know have our line:

y = \frac{5}{6}x - \frac{8}{3}

To determine if the point (-4, 3) falls on this line, we just plug the numbers into the equation and see if it holds true:

y = \frac{5}{6}x - \frac{8}{3}

(3) = \frac{5}{6}(-4) - \frac{8}{3}

3 = \frac{-10}{3} - \frac{8}{3}

3 = \frac{-18}{3}

3 = -6

This does not hold true, so the point is not on the line.

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Answer:

\large\huge\boxed{\text{If}\ m\ ||\ k\ \text{and}\ m\ ||\ l,\ \text{then}\ k\ ||\ l}

4 0
3 years ago
What are the restrictions for (x^2+10x+25)/(x^2-3x-28)<br><br> 0,14<br> -4,7<br> 0,7<br> 4,7
nirvana33 [79]
The answer is -4,7

The denominator can't equal zero. Factor the denominator:
x^2 - 3x - 28=
(X - 7)(x + 4); next set each set of parentheses equal to 0;
x - 7 = 0; so x=7 is one value
x + 4 = 0; so x=-4 is the other
Remember, x = 7 and x= -4 make the denominator zero, which is a "restriction" because you can't divide by zero.
5 0
3 years ago
Consider the equation 21 = m + 14 1/6. Which step will help to solve this equation? A add 14 1/6 on both sides of the equation.
Furkat [3]

Answer:

B. subtract

Step-by-step explanation:

Subtracting is the opposite of adding which is what is originally in the equation, by subtracting you are canceling out the 14 1/6

7 0
2 years ago
Which sequence of a transformation will result in an image that maps onto itself? A) rotate 180 degrees counterclockwise and the
Firdavs [7]

The <em>correct answer</em> is:

D) reflect over the y axis and then reflect again over the y axis.

Explanation:

Logically, if we reflect a figure across the y-axis and then reflect across the y-axis again, we have undone what we originally did, and the figure is back in its original position.

Algebraically, reflecting across the y-axis maps every point (x, y) to (-x, y). Reflecting this point across the y-axis maps (-x, y) to (x, y); this is our original point.

6 0
3 years ago
Read 2 more answers
Please help I’ll mark brainliest if correct please explain also
adell [148]

Answer:

2/5

Step-by-step explanation:

5x+6y=11

as we have to find x coordinate

while y coordinate 3/2 is already given in question

so only put value of y coordinate in given equation to get x coordinate value

5x+6y=11

5x+6*(3/2)=11

5x+3*3=11

5x+9=11

5x=11-9

5x=2

x=2/5

6 0
3 years ago
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