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disa [49]
3 years ago
5

Find the y intercept​

Mathematics
2 answers:
erica [24]3 years ago
7 0

Step-by-step explanation:

Slope of line ST = Slope of line PQ = -3.

y = -3x + c

When x = 3, y = -1

=> (-1) = -3(3) + c, c = 8

Therefore the equation of line ST is y = -3x + 8 and the y-intercept is 8.

avanturin [10]3 years ago
7 0

Step-by-step explanation:

Hey there!

The given equation of line PQ is :

y = -3x -12.

<u>Comparing the equation with y = mx + c. We get;Slope (m1)= -3</u>

We know the condition of parallel lines is slope of 1st line = slope of 2nd line. (i.e m1=m2).

<em>Therefore</em><em>,</em><em> </em><em>slope </em><em>of </em><em>PQ=</em><em> </em><em>slope </em><em>of </em><em>ST </em><em>=</em><em> </em><em>-</em><em>3</em><em>.</em>

<em>Now,</em><em> </em><em>The </em><em>point </em><em>through</em><em> </em><em>which</em><em> </em><em>ST </em><em>passes </em><em>is </em><em>(</em><em>3</em><em>,</em><em>-</em><em>1</em><em>)</em><em> </em><em>and </em><em>we </em><em>found</em><em> </em><em>its </em><em>slope </em><em>as </em><em>-</em><em>3</em><em>.</em>

So, let's use one point formula.

<em>(y - y1) = m2(x - x1)</em>

<em>(y  + 1) =  - 3(x - 3)</em>

<em>y + 1 =  - 3x + 9</em>

<em>y =  - 3x + 8</em>

Comparing the equation with y = mx+c. We get y-intercept is "8".

Therefore, y-intercept is "8".

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