Which equation is in slope-intercept form?

• A. Y = mX + b
• B. AX + BY = C
• C. Y = X^2 + b
• D. b = mX + y

Answer: (A)

Slope-intercept form is written as y = mx + b, where y depends on x, m is the slope, and b is the y-intercept. The equation that matches this exact pattern has y on the left and a linear expression in x on the right, so it already shows how y changes with x. The other forms are not in that pattern: AX + BY = C is standard form, not slope-intercept; Y = X^2 + b uses X^2, which makes a parabola, not a straight line; and b = mX + y has the left side not isolated as y, though solving for y would give y = -mX + b, which is slope-intercept form, but as written it isn’t presented in that form. So the equation in slope-intercept form is the one that has y = mx + b.