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4 years ago

Slope : - 9/7 point : ( -7,4 )

1 answer:

7 0

To form an equation with the given information, we use the formula :

y = mx + b, m being the slope and b being the y-intercept.

Since it is given that the slope is -9/7, we substitute m with -9/7.

y = -9/7x + b

To find b, we will substitute the known coordinates into the equation :
At point (-7 , 4), x = -7, y = 4

4 = -9/7 (-7) + b
4 = 9 + b
b = 4 - 9
b = -5

Now we know that b = -5, we will substitute b = -5 into the equation that we found earlier, y = -9/7 x + b :

y = - 9/7x - 5

To make it more readable, we can multiply the equation by 7:
7y = -9x - 5
7y + 9x + 5 = 0

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Answer : 7y + 9x + 5 = 0
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Question 5(Multiple Choice Worth 1 points)

Snezhnost [94]

Given:

The graph passes through the points (0,-20) and (4,10).

To find:

The equation of line that most closely represents the line depicted in the graph.

Solution:

If a line passing through two points, then the equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

The given line passes through the points (0,-20) and (4,10). So, the equation of line is

$y-(-20)=\dfrac{10-(-20)}{4-0}(x-0)$

$y+20=\dfrac{10+20}{4}(x)$

$y+20=\dfrac{30}{4}x$

$y+20=\dfrac{15}{2}x$

Subtracting 20 from both sides, we get

$y=\dfrac{15}{2}x-20$

The function form is

$f(x)=\dfrac{15}{2}x-20$

f of x equals fifteen halves times x minus 20.

Therefore, the correct option is B.

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3 years ago

Match each statement in the proof with the correct reason.

Masteriza [31]

Answer:

See explanation

Step-by-step explanation:

Definition of parallelogram: Parallelogram is a quadrilateral with two pairs of parallel sides.

Definition of transversal (diagonal): A line that cuts across two or more (usually parallel) lines.

Definition of the same side interior angles: These angles are located exactly as their name describes. They are "interior" (between the parallel lines), and they are on the same side of the transversal (diagonal).

The same-side interior angles theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary

Statement Reason

1. ABCD is a parallelogram - Given

2. $\overline{AB}\parallel \overline {CD}$ - Definition of parallelogram