Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A line has a slope of 19-\frac{1}{9} and passes through the point (3,7)(3,7). What is its equation in point-slope form?\newlineUse the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.\newlineyy - ______= = ______(x(x - ______))

Full solution

Q. A line has a slope of 19-\frac{1}{9} and passes through the point (3,7)(3,7). What is its equation in point-slope form?\newlineUse the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.\newlineyy - ______= = ______(x(x - ______))
  1. Identify Point-Slope Form: Identify the point-slope form of a linear equation.\newlineThe point-slope form of a linear equation is given by the formula yy1=m(xx1)y - y_1 = m(x - x_1), where mm is the slope of the line and (x1,y1)(x_1, y_1) is a point on the line.
  2. Substitute Slope and Point: Substitute the given slope and point into the point-slope form.\newlineWe are given the slope m=19m = -\frac{1}{9} and the point (3,7)(3, 7). Substituting these values into the point-slope form, we get y7=(19)(x3)y - 7 = (-\frac{1}{9})(x - 3).
  3. Check for Simplification: Check for any simplification needed.\newlineIn this case, there is no further simplification required. The equation is already in the simplest form.

More problems from Point-slope form: write an equation