What is slope intercept form?

What is slope intercept form?

• A. Ax+By=C
• B. y = ax^2+by+c
• C. Y=mx+b
• D. X=Y+b

Answer: (C)

Slope-intercept form writes a line as y = mx + b, where m is the slope (how steep the line is) and b is the y-intercept (the value of y when x is 0). This form directly shows how y changes with x, making it easy to read off both the slope and where the line crosses the y-axis. Among the options, the one that matches this pattern is y = mx + b. The other forms describe something different: Ax + By = C is a standard form for a line, not slope-intercept; y = ax^2 + by + c is a quadratic in x (not a straight line); X = Y + b is not a standard way to express a linear relationship in slope-intercept form.

Slope-intercept form writes a line as y = mx + b, where m is the slope (how steep the line is) and b is the y-intercept (the value of y when x is 0). This form directly shows how y changes with x, making it easy to read off both the slope and where the line crosses the y-axis.

Among the options, the one that matches this pattern is y = mx + b. The other forms describe something different: Ax + By = C is a standard form for a line, not slope-intercept; y = ax^2 + by + c is a quadratic in x (not a straight line); X = Y + b is not a standard way to express a linear relationship in slope-intercept form.