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3 years ago

Write the equation of the line, with the given properties, in slope-intercept form.

2 answers:

8 0

This is very simple. All you need to know is the formula for Point-Slope which is:
y - y1 = m (x - x1)

The "y" and "x" values are not given, only the "y1", "x1", and slope "m" values are given to us.

All you need to do is plug in the numbers:
y - 6 = -6 (x- (-6) A negative multiplied by a negative is a positive

y - 6 = -6x + 36 Then just add 6 to both sides
y = -6x +30 ----- That's your anwer

However, if they ask you to put it in general form, then simply set everything equal to 0 like so: Ax + By + C = 0 which turns out to be 6x + y - 30 = 0

shepuryov [24]3 years ago

7 0

Point-slope formula;

y - y1 = m(x - x1) given slope(m) is -6 and the point (-6, 6)

y - 6 = -6(x - (-6)

y - 6 = -6x - 36

y = -6x - 36 + 6

y = -6x - 30 << the equation

hope this helps, God bless!

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3 years ago

Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one a

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3 years ago

Where could point E be if and D is between E and B?

Artemon [7]

Answer:

It would be to the left of the whole equation.

Step-by-step explanation:

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3 years ago

For each of the following, state the equation of a perpendicular line that passes through (0, 0). Then using the slope of the ne

SVEN [57.7K]

Answer:

The answer is below

Step-by-step explanation:

a) y=3x-1

The standard equation of a line is given by:

y = mx + c

Where m is the slope of the line and c is the intercept on the y axis.

Given that y=3x-1, comparing with the standard equation of a line, the slope (m) = 3, Two lines with slope a and b are perpendicular if the product of their slope is -1 i.e. ab = -1. Let the line perpendicular to y=3x-1 be d, to get the slope of the perpendicular line, we use:

3 × d = -1

d = -1/3

To find the equation of the perpendicular line passing through (0,0), we use:

$y-y_1=d(x-x_1)\\d\ is\ the \ slope:\\y-0=-\frac{1}{3} (x-0)\\y=-\frac{1}{3}x$

To find x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

$y=-\frac{1}{3}x\\ 4=-\frac{1}{3}x\\-x=12\\x=-12$

b) y=1/4 x+2

Given that y=1/4 x+2, comparing with the standard equation of a line, the slope (m) = 1/4. Let the line perpendicular to y=1/4 x+2 be f, to get the slope of the perpendicular line, we use:

1/4 × f = -1

f = -4

To find the equation of the perpendicular line passing through (0,0), we use:

$y-y_1=f(x-x_1)\\f\ is\ the \ slope:\\y-0=-4 (x-0)\\y=-4x$

To find x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

$y=-4}x\\ 4=-4x\\x=-1$

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3 years ago

It takes John 54 minutes to paint a fence with a length of 12 meters. On average, how long did he take to paint 1 meter of the f

seraphim [82]

Answer:

4.5

Step-by-step explanation:

I think it will work if you Divide 54 over 12 = 4.5

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2 years ago

Write the equation of the​ line, with the given​ properties, in​ slope-intercept form.

Write the equation of the line, with the given properties, in slope-intercept form.