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The equation y minus 1 = negative 7 (x minus 3). is written in point-slope form. What is the y-intercept of the line?

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Edisonlara1212idn

Answer:

(0, 22)

Step-by-step explanation:

So you have the equation:

[tex]y-1=-7(x-3)[/tex]

So first let's define what the "y-intercept" is. The y-intercept, of a line is like the name implies, when the line intercepts or "passes" the y-axis. And if you were to take any point on the y-axis, the y-value may vary, but there is one value that doesn't change, and that's the x-value. the x-value is always going to be zero, no matter where you are on the y-axis. So to find the y-intercept simple plug 0 in as x. This gives you the equation:

[tex]y-1 = -7(0-3)[/tex]

[tex]y-1 = -7(-3)[/tex]

[tex]y-1=21[/tex]

[tex]y=22[/tex]

So the y-intercept is at (0, 22)

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