Please help Find the equation of this line. 1 a [?] x + [ ] y =

Mathematics

1 answer:

dezoksy [38]3 years ago

6 0

Start by finding the slope.

Pick 2 points on the line and find the “rise” and “run” between them.

To get from (0,3) to (4,0), you’d need to go “down 3” and “right 4”.

Since the slope is “rise over run” and a rise of “down 3” means a rise of “-3”, your slope is -3/4.

Next find the y-intercept: (0,3)
Use the 3 as your b-value for the slope-intercept form.

y=mx+b becomes y= -3/4 x + 3

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The equation for the horizontal line that contains the point E(3, –4)?

Effectus [21]

The slope of a horizontal line will have a value equal to 0:
m=0
Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

We have a point ( E(3,-4) ) and the slope of this line (m=0); therefore:y
y+4=0(x-3=
y+4=0
y=-4

Answer: the equation for the horizontal line that contains the point E, would be:
y=-4

7 0

3 years ago

What is the length of the hypotenuse of the triangle when x=14

astra-53 [7]

The length of the hypotenuse will be equal to H=122.25 when value of x=14.

<h3>What is pythagorean theorem?</h3>

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal the square of the sum of the other two sides.

It is given that:

Value of x=14

The perpendicular is =6x+5=6x14+5=89

The base is =6x=84

So by using the Pythagorean theorem:-

$H^2=P^2+B^2\\\\\\H^2=89^2+84^2\\\\\\H=\sqrt{89^2+84^2}\\\\\$