Which equation is in slope-intercept form?

Which equation is in slope-intercept form?

• A. x=2y+1
• B. y=mx^2+b
• C. y=mx+b
• D. ax+by=c

Answer: (C)

The main idea is recognizing slope-intercept form, which shows a straight-line equation written as y = m x + b, where m is the slope and b is the y-intercept. This format directly reveals how steep the line is and where it crosses the y-axis. The correct choice matches this pattern right away: y equals a linear expression in x plus a constant, so it shows the slope as the coefficient of x and the intercept as the constant term. The other forms don’t present the relationship as y in terms of x in a linear way: one has x on the left, another involves x squared (which would make a curved graph), and another is written in a different form that would need rearranging to solve for y. So this option is the one that is already in slope-intercept form.

The main idea is recognizing slope-intercept form, which shows a straight-line equation written as y = m x + b, where m is the slope and b is the y-intercept. This format directly reveals how steep the line is and where it crosses the y-axis. The correct choice matches this pattern right away: y equals a linear expression in x plus a constant, so it shows the slope as the coefficient of x and the intercept as the constant term. The other forms don’t present the relationship as y in terms of x in a linear way: one has x on the left, another involves x squared (which would make a curved graph), and another is written in a different form that would need rearranging to solve for y. So this option is the one that is already in slope-intercept form.