How do you write the equation of a line in point-slope form through point (2,3) with slope 4?

To write the equation of a line in point-slope form, you can use the formula:

y - y₁ = m(x - x₁)

In this formula, (x₁, y₁) represents a specific point on the line, and m represents the slope of the line.

Here, the given point is (2, 3), which means x₁ = 2 and y₁ = 3. The slope given is 4, so m = 4. Substituting these values into the point-slope formula, we have:

y - 3 = 4(x - 2)

This shows that for any value of x, the corresponding y can be found using the line that passes through the point (2, 3) with a slope of 4.

The other choices do not follow the point-slope form correctly using the given point and slope. For instance, using y - 4 in option A mistakenly uses a y-coordinate of 4 instead of 3. Similarly, option C does not use the correct point at all, and option D shifts both the x and y coordinates incorrectly. Therefore, the choice utilizing y - 3 and the defined slope of