Which equation is in slope-intercept form?

Which equation is in slope-intercept form?

• A. y = 2x + 3
• B. 2x + 3y = 6
• C. x - y = 4
• D. 5x - 2 = 0

Answer: (A)

Slope-intercept form is y = mx + b, where the variable y is isolated on the left and x appears with its coefficient m (the slope), plus a constant b as the y-intercept. The equation written as y = 2x + 3 already fits that pattern exactly, with slope 2 and y-intercept 3. The other forms aren’t in that exact layout as written: one needs rearranging to solve for y, another doesn’t even include y, and a vertical-line form would not be expressed with y in terms of x. Since this one is already in the y = mx + b format, it’s the correct choice.

Slope-intercept form is y = mx + b, where the variable y is isolated on the left and x appears with its coefficient m (the slope), plus a constant b as the y-intercept. The equation written as y = 2x + 3 already fits that pattern exactly, with slope 2 and y-intercept 3. The other forms aren’t in that exact layout as written: one needs rearranging to solve for y, another doesn’t even include y, and a vertical-line form would not be expressed with y in terms of x. Since this one is already in the y = mx + b format, it’s the correct choice.