Question

which statements are correct about slope-intercept form. choose all that are true.
y is y-intercept
b is y-intercept
m is slope
y = mx+b
x is slope

Explanation:

The slope - intercept form of a linear equation is defined as \(y = mx + b\), where \(m\) represents the slope of the line and \(b\) represents the \(y\) - intercept (the value of \(y\) when \(x = 0\)).

• For the statement "y is y - intercept": \(y\) is the dependent variable (the value of the function at a given \(x\)), not the \(y\) - intercept, so this is false.
• For the statement "b is y - intercept": By the definition of slope - intercept form, \(b\) is the \(y\) - intercept, so this is true.
• For the statement "m is slope": By definition, in \(y=mx + b\), \(m\) is the slope, so this is true.
• For the statement "\(y=mx + b\)": This is the standard slope - intercept form of a linear equation, so this is true.
• For the statement "x is slope": \(x\) is the independent variable, not the slope, so this is false.

Answer:

B. b is y - intercept, C. m is slope, D. \(y = mx + b\)