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what is the y intercept of the line that passes through the point 3, 4 and has a slope of 3

Sagot :

Trancescient

(0, -5)

Step-by-step explanation:

Since we are given the slope and a point on the line, we can use these to write the point-slope form of the equation of the line, which looks this this:

[tex]y - y_1 = m(x - x_1)[/tex]

where [tex](x_1, y_1)[/tex] is the point on the line and m is the slope. So the equation has the form

[tex]y - 4 = 3(x - 3)[/tex]

To find the y-intercept, set x = 0 to get

[tex]y - 4 = 3(0 - 3) \Rightarrow y - 4 = -9[/tex]

Solving for y, we get

[tex]y = -5[/tex]

Therefore, the coordinates of the y-intercept is (0, -5).

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