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2 years ago

(-2, 1/2), (1, -2/3) Find the equation of the line

Mathematics

1 answer:

Luda [366]2 years ago

4 0

9514 1404 393

Answer:

7x +18y = -5

Step-by-step explanation:

The slope is ...

m = (y2 -y1)/(x2 -x1)

m = (-2/3 -1/2)/(1 -(-2)) = (-7/6)/(3) = -7/18

The y-intercept is ...

b = y -mx

b = 1/2 -(-7/18)(-2) = 1/2 -7/9 = -5/18

Then the slope-intercept form of the equation is ...

y = -7/18x -5/18

Multiplying by 18 and adding the opposite of the x-term gives the equation in standard form. The standard form equation is ...

7x +18y = -5

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2 years ago

What P:X equals 4 let q:y equals -2 which represents if x = 4 then y = -2

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3 years ago

Quickly what is the answer to this and why

Darya [45]

Answer:

Q = 146

Step-by-step explanation:

We know that angle S and T are equal because the sides are equal

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3 years ago

Find an equation of the line that contains the given point and is perpendicular to the given line. Using a graphing calculator t

Orlov [11]

The equation of the line is y=2x+1.

We must must transform the standard form equation 3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

3x+6y=5 (Subtract 3x on both sides.)

6y=−3x+5 (Divide both sides by 6.)

y=− 3/6x+ 5/6

y=− 1/2x+ 5/6

The slope of our first line is equal to − 1/2.Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is − 1/x

The negative reciprocal of − 1/2 is equal to 2, therefore 2 is the slope of our line.

Since the equation of line passing through the point (1,3), therefore substitute the given point in the equation y=2x+b:

3=(2×1)+b

3=2+b

b=3−2=1

Substitute this value for b in the equation y=2x+b:

y=2x+1

Hence, the equation of the line is y=2x+1.

For more information about equation of line, visit

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11 months ago

(-2, 1/2), (1, -2/3) Find the equation of the line​

(-2, 1/2), (1, -2/3) Find the equation of the line