Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A line has a slope of 17-\frac{1}{7} and a yy-intercept of 15-15. Write its equation in slope-intercept form.\newlineWrite your answer using integers, proper fractions, and improper fractions in simplest form.

Full solution

Q. A line has a slope of 17-\frac{1}{7} and a yy-intercept of 15-15. Write its equation in slope-intercept form.\newlineWrite your answer using integers, proper fractions, and improper fractions in simplest form.
  1. Identify Form: Identify the slope-intercept form of a linear equation.\newlineThe slope-intercept form of a linear equation is y=mx+by = mx + b, where mm is the slope and bb is the yy-intercept.
  2. Insert Values: Insert the given slope and y-intercept into the slope-intercept form.\newlineWe are given the slope mm as 17-\frac{1}{7} and the y-intercept bb as 15-15. Substituting these values into the slope-intercept form, we get y=(17)x+(15)y = \left(-\frac{1}{7}\right)x + \left(-15\right).
  3. Simplify Equation: Simplify the equation if necessary.\newlineIn this case, the equation y=17x15y = \frac{-1}{7}x - 15 is already in its simplest form. There is no need for further simplification.

More problems from Slope-intercept form: write an equation