Given the point (4, 5) and the slope of 6, find y when x = 24.

Solution:

Given, the slope m = 6

The point is (4, 5)

We have to find y when x = 24.

The equation of a line passing through a given point is given by

\((y-y_{1})=m(x-x_{1})\)

Now, \(\\(y-5)=6(x-4)\)

y - 5 = 6x - 24

y = 6x - 24 + 5

y = 6x - 19

Put x = 24 to find the value of y,

y = 6(24) - 19

y = 144 - 19

y = 125

Therefore, the value of y when x = 24 is 125.

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Given the point (4, 5) and the slope of 6, find y when x = 24.

Summary:

The point (4, 5) and the slope of 6, when x = 24, y = 125.