A line intersects the point (-3,-7) and has a slope of -1/3. What is the slope intercept equation for this line? Y = -X/3 -[?]

1 answer:

7 0

First, you can plug this into the point slope formula. you will have to do that before you can get the slope intercept form. Plug in what you know. m is slope, so plug in -1/3 for m. The point given can be plugged in to the formula also. This is what it should look like:

y + 7 = -1/3(x + 3)

***** Note that the -3 and -7 become positive because it is subtracting negative numbers and 2 negatives make a positive. *************************

Now distribute the -1/3 times x and 3.

y + 7 = -1/3x - 1

Now to get y by itself, add 7 to both sides.

y = -1/3x + 6

This is your answer: y = -1/3x + 6

You might be interested in

Which division expression is equivalent to 4 1/3 ÷ -5/6

Rzqust [24]

$4\dfrac{1}{3}\div\left(-\dfrac{5}{6}\right)\qquad(*)\\\\\text{Convert the mixed number to the improper fraction:}\\\\4\dfrac{1}{3}=\dfrac{4\cdot3+1}{3}=\dfrac{12+1}{3}=\dfrac{13}{3}\\\\(*)=\dfrac{13}{3}\div\left(-\dfrac{5}{6}\right)\\\\\text{By dividing by a fraction, we multiply by its reciprocal.}\\\\=\dfrac{13}{3}\cdot\left(-\dfrac{6}{5}\right)\qquad\text{simplify}\\\\=\dfrac{13}{3\!\!\!\!\diagup_1}\cdot\left(-\dfrac{6\!\!\!\!\diagup^2}{5}\right)=-\dfrac{13\cdot2}{1\cdot5}=-\dfrac{26}{5}=-\dfrac{25+1}{5}=-5\dfrac{1}{5}$

5 0

3 years ago

Read 2 more answers

Raul biked at a steady speed during his 8 mile ride. He finished the ride in 4/5. Which fraction represents rauls speed in miles

Sergio [31]

First Answer:

$\frac{8}{4/5}$

Second Answer:

(I did the quiz)

5 0

3 years ago

Read 2 more answers

which description best describes the solution to the following system of equations y= -2x +3 y= -x + 1

marin [14]

For this case we have the following system of equations:
$y = -2x +3

y = -x + 1$
Equating the values of y we have:
$-2x +3 = -x + 1
$
From here, we can clear the value of x.
We have then:
$-2x + x = 1 - 3

-x = -2

x = 2$
Then, we look for the value of y.
For this, we substitute x in any of the equations:
$y = -x + 1

y = -2 + 1

y = -1$
Answer:
The ordered pair solution of the system of equations, is given by:
$(x, y) = (2, -1)$