Which form is in slope-intercept form?

Which form is in slope-intercept form?

• A. Ax + By = C
• B. y = x^2 + 3
• C. x = y + b
• D. y = mx + b

Answer: (D)

In slope-intercept form, a linear equation is written with y isolated on the left and the expression on the right linear in x: y = mx + b. This format makes the slope (m) and the y-intercept (b) immediately visible. The form that matches this exactly is y = mx + b, so it is in slope-intercept form as written. The other expressions are not: Ax + By = C is standard form and isn’t solved for y; y = x^2 + 3 is not linear because of the x^2 term; x = y + b is solved for x in terms of y, not y in terms of x.

In slope-intercept form, a linear equation is written with y isolated on the left and the expression on the right linear in x: y = mx + b. This format makes the slope (m) and the y-intercept (b) immediately visible.

The form that matches this exactly is y = mx + b, so it is in slope-intercept form as written. The other expressions are not: Ax + By = C is standard form and isn’t solved for y; y = x^2 + 3 is not linear because of the x^2 term; x = y + b is solved for x in terms of y, not y in terms of x.