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3 years ago

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Which statement is true about the line represented on the equation y + 7 = -3 (x - 2/9) ?

1 answer:

Zarrin [17]3 years ago

6 0

<u>ANSWER</u>

The point $(\frac{2}{9},-7)$ lies on the straight line $y+7=-3(x-\frac{2}{9})$

<u>EXPLANATION</u>

The given line is $y+7=-3(x-\frac{2}{9})$ . It can be observed that the given straight line is in the point-slope form.

We can rewrite the equation in the point-slope form to obtain,

$y--7=-3(x-\frac{2}{9})$ .

When we compare this to the general point-slope form, which given by the formula;

$y-y_1=m(x-x_1)$ ,

We can observe that,

$x_1=\frac{2}{9}$ and $y_1=-7$ .

Hence the point, $(x_1,y_1)=(\frac{2}{9},-7)$ lies on $y+7=-3(x-\frac{2}{9})$

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Read 2 more answers

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3 years ago

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Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points $(x_1,y_1)$ and $(x_2, y_2)$

then the general form $y -y_1=m(x-x_1)$ for linear equations where m is the slope given by:

$m =\frac{y_2-y_1}{x_2-x_1}$

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$m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}$

then, by point slope intercept form;

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* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

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then, by point slope intercept form;

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3 years ago