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Westkost [7]
3 years ago
5

What is the standard form of slope=-2 (0,0)

Mathematics
2 answers:
Colt1911 [192]3 years ago
6 0
So standard form is <span>Ax+By=C, so the answer is 2x + y = 0</span>
Levart [38]3 years ago
5 0
The general form of the linear equation is:
y = mx + c where:
m is the slope and c is the y intercept

We are given that the slope is equal to -2
Therefore, the equation now becomes:
y = -2x + c

To get the value of the c, we will use the given point (0,0) to substitute in the equation and solve for c as follows:
y = -2x + c
0 = -2(0) + c
c = 0

Based on the above calculations, the equation of the line would be:
y = -2x




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3 years ago
Find the smallest value of k such that the LCM of<br> k and 6 is 60
Advocard [28]

Answer: The smallest valuest value for<em> k </em>is 10, such that LCM o<em>f k</em> and 6 is 60.

Step-by-step explanation:

We know that, LCM = Least common multiple.

For example : LACM of 12 and 60  is 60.

If LCM of k and 6 is 60.

i.e. the least common multiple of k and 6 is 60.

Since, 10 x 6 = 60.

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3 years ago
Find the equation of the line through ( - 10, - 8) that is perpendicular to the line through (10,6), (5,5).
Furkat [3]

Answer:

y=-5x-58

Step-by-step explanation:

The equation of a line in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

Perpendicular lines have opposite reciprocal slopes.

Anyways we need to find the slope of the line going through (10,6) and (5,5).

To find the slope, we are going to line up the points vertically and subtract vertically, then put 2nd difference over 1st difference. Like so:

 (  10   ,   6)

- (   5   ,   5)

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

    5         1

So the slope of the line through (10,6) and (5,5) is 1/5.

The slope of a line that is perpendicular will be the opposite reciprocal of 1/5.

The opposite reciprocal of 1/5 is -5.

The line we are looking for is y=-5x+b where we need to find the y-intercept b.

y=-5x+b goes through (-10,-8)

So we can use (x,y)=(-10,-8) to find b in y=-5x+b.

y=-5x+b with (x,y)=(-10,-8)

-8=-5(-10)+b

-8=50+b

Subtract 50 on both sides:

-8-50=b

-58=b

So the equation is y=-5x-58

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