Which equation is in slope-intercept form?

Which equation is in slope-intercept form?

• A. x + y = 1
• B. y = mx + b
• C. y - y1 = m(x - x1)
• D. Ax + By = C

Answer: (B)

To recognize slope-intercept form, look for an equation with y by itself on the left and the right side written as mx plus b. The equation y = mx + b already matches this pattern, with the slope m and the y-intercept b explicit. The first option has x and y on the same side; solving for y would yield y = -x + 1, which is slope-intercept form only after rearranging, not in the given form. The third option is in point-slope form, and the fourth is standard form. So the equation shown in slope-intercept form as written is the one with y isolated and the right side as mx + b.

To recognize slope-intercept form, look for an equation with y by itself on the left and the right side written as mx plus b. The equation y = mx + b already matches this pattern, with the slope m and the y-intercept b explicit. The first option has x and y on the same side; solving for y would yield y = -x + 1, which is slope-intercept form only after rearranging, not in the given form. The third option is in point-slope form, and the fourth is standard form. So the equation shown in slope-intercept form as written is the one with y isolated and the right side as mx + b.