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4 years ago

Y = 4x + 3

2 answers:

3 0

D) perpendicular!
A perpendicular's definition is: a straight line at an angle of 90° to a given line, plane, or surface.
And if you mark them on a graph you could see these two are opposite of each other.

Likurg_2 [28]4 years ago

3 0

Answer:

Perpendicular.

D is the correct option.

Step-by-step explanation:

The given equations are

$y=4x+4\\\\y=-\frac{1}{4}x-4$

The slope intercept form of a line is given by

$y=mx+b$

Here, m is the slope and b is the y intercept.

Comparing given equation with slope intercept form of the line

Slope of first line = 4

Slope of second line = -1/4

These two slopes are not equal hence, lines are not parallel.

We can see that -1/4 is the negative reciprocal of 4. Since.

$4\cdot-\frac{1}{4}=-1$

We know that the slopes of perpendicular lines are negative reciprocal of each other.

Hence, the lines are perpendicular.

D is the correct option.

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Carmen and Jen went diving to explore marine life 15ft below the waters surface. Write two integers to represent the position of

KatRina [158]

Answer:

Step-by-step explanation:

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6 0

3 years ago

Write the equation of the line ? y=? PLEASE HELP

sashaice [31]

Answer:

y=-2/3x -6

Step-by-step explanation:

y=-6 so b=-6

rise/run=-2/3

Put that into an equation of y=mx+b and you get y=-2/3x -6

5 0

3 years ago

Can someone please help me with #1-#5?I don't know how to find the answer.

anastassius [24]

Answers:

Slope = undefined; y intercept = none
Slope = 2; y intercept = -2
Slope = -1; y intercept = 1
Slope = 0
Slope = -4

========================================================

Explanation:

For any vertical line, the slope is always undefined. Recall that slope = rise/run. For a vertical line, the run is 0 because there is no left or right movement. This leads to a division by zero error. The vertical line is also parallel to the y axis, meaning that there isn't a y intercept whenever the line isn't directly on top of the y axis.

The equation of this vertical line is x = 3 as all points on this line have the same x coordinate of 3.

-----------------------

We can use the slope formula for the points $(x_1,y_1) = (-1,-4) \ \text{ and } \ (x_2,y_2) = (3,4)$

So,

$m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-4)}{3-(-1)}\\\\m = \frac{4+4}{3+1}\\\\m = \frac{8}{4}\\\\m = 2\\\\$

The slope is 2.

The y intercept is -2 as this is the location where the diagonal line crosses the y axis.

The equation of this line is y = 2x-2.

-----------------------

Same idea as problem 2.

$(x_1,y_1) = (-2,3)\\\\(x_2,y_2) = (3,-2)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-2-3}{3-(-2)}\\\\m = \frac{-2-3}{3+2}\\\\m = \frac{-5}{5}\\\\m = -1\\\\$

The slope is -1.

The y intercept is 1 because the line cuts through 1 on the y axis.

The equation is y = -1x+1 which is the same as y = -x+1.

-----------------------

Pick any two points from the table. Each column represents a different (x,y) ordered pair point. Those two points selected are then plugged into the slope formula. I'll pick the first two columns.

$(x_1,y_1) = (1,-2)\\\\(x_2,y_2) = (2,-2)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-2-(-2)}{2-1}\\\\m = \frac{-2+2}{2-1}\\\\m = \frac{0}{1}\\\\m = 0\\\\$

Notice how the y coordinates are the same, which leads to a difference of 0 up top and ultimately the slope itself is also 0. We have a horizontal flat line here. All horizontal lines have a slope of 0.

The y intercept is -2 because all y values for this function are the same.

The equation is y = 0x-2 which is the same as y = -2.

-----------------------

Again I'll pick the first two columns to plug into the slope formula, but you can pick any two columns you prefer.

$(x_1,y_1) = (-3,11)\\\\(x_2,y_2) = (-1,3)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{3-11}{-1-(-3)}\\\\m = \frac{3-11}{-1+3}\\\\m = \frac{-8}{2}\\\\m = -4\\\\$

The slope is -4.

Use this slope value, along with any column from the table to form the (x,y) point, to plug into the slope intercept form below. I'll use the first column

y = mx+b

11 = -4*(-3)+b

11 = 12+b

11-12 = b

-1 = b

b = -1

The y intercept is -1.

The equation is y = -4x-1.

7 0

3 years ago