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1 year ago

P lies 2 units below the x-axis and its x-coordinate is three times its y-coordinate

Mathematics

1 answer:

Oduvanchick [21]1 year ago

4 0

The coordinate of point P is (-6, -2)

<h3>How to determine the coordinate of P?</h3>

The given parameters are:

P lies 2 units below the x-axis and its x-coordinate is three times its y-coordinate

The above means that

y = -2 i.e. 2 units below the x-axis

x = 3y

This gives

x = 3 * -2

Evaluate

x = -6

Express as cooridnates

P = (-6, -2)

Hence, the coordinate of point P is (-6, -2)

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I need help on these question ASAP!!!! This is Urgent

GarryVolchara [31]

Part 1: The equation of the line is $y=2x+1$

Part 2: The equation of the line in slope intercept form is $y=-3x-1$

Explanation:

Part 1: It is given that the point A is $(1,3)$ and the line B is $y=2 x-2$

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is $m=2$

Substituting the point $(1,3)$ and $m=2$ in slope intercept form $y=mx+b$ , we have,

$3=2(1)+b$

$3=2+b$

$1=b$

Thus, the y-intercept is $b=1$

Let us substitute the values $m=2$ and $b=1$ in the slope intercept form $y=mx+b$ , we get,

$y=2x+1$

Thus, the equation of the line passing though point A and parallel to line B is $y=2x+1$

Part 2: The given two coordinates are $(-1,2)$ and $(1,-4)$

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is $b=-1$

The formula for slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the coordinates $(-1,2)$ and $(1,-4)$ , we have,

$m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3$

Thus, the slope is $m=-3$

Substituting the values $b=-1$ and $m=-3$ in the slope intercept formula $y=mx+b$ , we get,

$y=-3x-1$

Thus, the equation of the line in slope intercept form is $y=-3x-1$

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PLZ ANSWER! ONLY IF YOU ARE CORRECT! don’t answer if you don’t know please.

kolbaska11 [484]

Answer:

10-

Step-by-step explanation:

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Find the x-intercept of the line graphed by the equation x - 7y = 7. (0, 14) (7, 0) (14, 0) (0, 7)

Nastasia [14]

X－7y＝7
To find the x-intercept, substitute y＝0
x－7×0＝7
x－0＝7
x＝7
∴ the x-intercept of the line is (7,0)

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If you multiply them all you get 3.0519273e+15 as your answer.

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