Question

What is the equation of the line that passes through the point (2,8) and has a slope of 3/2?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equation of a line is typically written in the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given that the line passes through the point (2,8) and has a slope of 3/2, we can substitute these values into the equation:

8 = (3/2)(2) + b

Simplifying the expression on the right side:

8 = 3 + b

Next, subtract 3 from both sides of the equation:

8 - 3 = b

5 = b

Now that we have determined the value of b, we can write the equation of the line:

y = (3/2)x + 5