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professor190 [17]
3 years ago
5

Write the slope-intercept form of 3x-2y=-16

Mathematics
2 answers:
Arada [10]3 years ago
8 0
First bring 3x to the other side, which will give you -2y= -16-3y. Then divide everything by -2, which will give you y=8+3/2x
iren [92.7K]3 years ago
7 0
<span>slope-intercept form is y=mx+b. which means you need to move the terms around to get that format.

</span>3x-2y=-16              <span>
-2y = -16 - 3x         </span>Subtract 3x from both sides<span>
y = 8 + 3/2 x           Divide both sides by -2
y = </span>3/2 x + 8          Rearrange to get y=mx+b format.

m = slope = 3/2
b = y-intercept = 8
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12x - 2y = -1<br>+ 4x + 6y= -4<br>​
svp [43]

Answer:

x = -7/40 , y = -11/20

Step-by-step explanation:

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{12 x - 2 y = -1 | (equation 1)

4 x + 6 y = -4 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{12 x - 2 y = -1 | (equation 1)

0 x+(20 y)/3 = (-11)/3 | (equation 2)

Multiply equation 2 by 3:

{12 x - 2 y = -1 | (equation 1)

0 x+20 y = -11 | (equation 2)

Divide equation 2 by 20:

{12 x - 2 y = -1 | (equation 1)

0 x+y = (-11)/20 | (equation 2)

Add 2 × (equation 2) to equation 1:

{12 x+0 y = (-21)/10 | (equation 1)

0 x+y = -11/20 | (equation 2)

Divide equation 1 by 12:

{x+0 y = (-7)/40 | (equation 1)

0 x+y = -11/20 | (equation 2)

Collect results:

Answer:  {x = -7/40 , y = -11/20

6 0
3 years ago
Consider the line through (-1, -4) and (1, 2).<br>  What is the slope (m) of the line?<br>​
zloy xaker [14]

Answer:

<u><em>3</em></u>

Explanation:

  • \bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}

\bold{\left(x_1,\:y_1\right)=\left(-1,\:-4\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)}

\bold{m=\frac{2-\left(-4\right)}{1-\left(-1\right)}}

  • Refine

<u><em>m = 3</em></u>

5 0
3 years ago
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