Question

The point-slope form of a line that has a slope of , and passes through the point (3, 0) is shown. 4-0 = 1/(x-3) What is the equation in slope-intercept form? y - 0 = 1 - 4 (X - 3)

Answer 1

The equation y - 0 = 1 - 4 (X - 3) is not in slope-intercept form. To convert it, distribute -4 to (X - 3), combine like terms, and simplify to y = -4X + 13.

Step-by-step explanation:

The equation y - 0 = 1 - 4 (X - 3) is not in slope-intercept form. In slope-intercept form, the equation of a line is represented as y = mx + b, where m is the slope and b is the y-intercept.

To convert the equation into slope-intercept form, we need to simplify it. First, distribute -4 to (X - 3), which gives us -4X + 12. Then, combine like terms by adding 1 - 4X + 12, which simplifies to -4X + 13.

Now, we have y - 0 = -4X + 13. Simplifying further by removing the unnecessary - 0 on the left side gives us y = -4X + 13. So, the equation in slope-intercept form is y = -4X + 13.