McGraw Hill Glencoe Algebra 2, 2012
MH
McGraw Hill Glencoe Algebra 2, 2012 View details
3. Rate of Change and Slope
Continue to next subchapter

Exercise 45 Page 82

Can you write the equation in slope-intercept form?

Yes, see solution.

Practice makes perfect

To determine if the given equation is a linear equation, let's first see if we can rewrite it in slope-intercept form. y=mx+bIn this form, m is the slope and b is the y-intercept.

6y-8x=19
6y=8x+19
â–¼
.LHS /6.=.RHS /6.
y=8x/6+19/6
y=8/6x+19/6
y=4/3x+19/6

This is the slope-intercept form of the given equation. Below we have highlighted how it corresponds to the general slope-intercept form. y=4/3x+19/6 When written this way, we can see that m=43 and b=196. Since this equation can be written in slope-intercept form, it is linear.