Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A line with a slope of 1-1 passes through the point (6,5)(6,5). 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.\newliney=(x)y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})

Full solution

Q. A line with a slope of 1-1 passes through the point (6,5)(6,5). 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.\newliney=(x)y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
  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=1m = -1 and the point (6,5)(6, 5). Substituting these values into the point-slope form, we get y5=1(x6)y - 5 = -1(x - 6).
  3. Check for Simplification: Check for any simplification needed.\newlineThe equation y5=1(x6)y - 5 = -1(x - 6) is already in the simplest form. There are no fractions to simplify, and all terms are integers.

More problems from Point-slope form: write an equation