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

To find the value of y when x = 24, we can use the point-slope form of the equation of a line. The point-slope form is given by:

(y – y₁) = m(x – x₁)

where (x₁, y₁) is a point on the line and m is the slope.

Here, we have the point (4, 5) and the slope m = 6. Now we can plug in the values:

(y – 5) = 6(x – 4)

Next, we want to find y when x = 24:

(y – 5) = 6(24 – 4)

Calculating the expression on the right gives us:

(y – 5) = 6(20)

(y – 5) = 120

Now, add 5 to both sides to solve for y:

y = 120 + 5

y = 125

Therefore, when x = 24, y equals 125.