Topic 3 Review

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for a graph to be a function?

Back

A graph is a function if every x-value has exactly one corresponding y-value.

Front

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

How do you determine if a graph is linear or nonlinear?

Back

A graph is linear if it forms a straight line; it is nonlinear if it curves or has bends.

Front

What is the y-intercept of the line y = 2x - 7?

Back

The y-intercept is -7, which is the value of y when x = 0.

Front

Write the equation of a line with a slope of 1/3 that passes through the point (−6,−4).

Back

The equation is y = 1/3x - 2.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it moves; a positive slope rises, while a negative slope falls.

Front

How can you identify the slope from the equation y = mx + b?

Back

The slope is the coefficient of x, represented by m.

Front

What is the equation of a line that passes through the point (3,-1) with a slope of 2?

Back

The equation is y = 2x - 7.