How do you find an equation of the line that passes through the point (7, 2) and has the indicated slope 3?

To find the equation of a line given a point and a slope, we can use the point-slope form of a linear equation. The point-slope form is given by:

y – y₁ = m(x – x₁)

Where:

• (x₁, y₁) is a point on the line. In your case, this is (7, 2).
• m is the slope of the line. Here, the slope is 3.

Now we can plug the values into the equation:

y – 2 = 3(x – 7)

Next, we’ll simplify this equation:

y – 2 = 3x – 21

Now, we’ll add 2 to both sides:

y = 3x – 21 + 2

y = 3x – 19

Thus, the equation of the line that passes through the point (7, 2) with a slope of 3 is:

y = 3x – 19