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What is the y-intercept of a line that has a slope of negative 3 and passes through point 0 and -7

Respuesta :

Answer:

The y-intercept of a line that has a slope of negative 3 and passes through point 0 and -7 is [tex]y = -3x -7[/tex]

Solution:

Let us assume that the slope is m and the y intercept of the line is b

Hence, [tex]y = mx +b[/tex] --------- (i)

y intercept means we need to find the value of y when x is 0

Here the line passes through point (0,-7) and slope m = (-3)

Now putting the point (0,-7) in equation (i) we get,

[tex]\Rightarrow -7 = m\times0 +b[/tex]

Anything multiplied by 0 is 0,

[tex]\Rightarrow -7 = 0+b[/tex]

[tex]\Rightarrow b = -7[/tex]

So, the line will be [tex]y = -3x -7[/tex]

Answer: the answer for edge 2022 is (-7)

Step-by-step explanation: got it right on test good luck :)

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