Equation of a straight line

Front

What is the equation of a straight line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

How do you determine if a table of values represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of y to x is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio k in the equation y = kx.

Front

What does a direct variation graph look like?

Back

A direct variation graph is a straight line that passes through the origin.

Front

If a line has a slope of 0, what does that indicate?

Back

A slope of 0 indicates a horizontal line, meaning y does not change as x changes.

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope and represents a relationship where x is constant.

Front

How can you find the x-intercept of a line?

Back

Set y = 0 in the equation and solve for x.