8th Mission 3 Assessment: Linear relationships

Front

What does the y-intercept represent in a linear graph?

Back

The y-intercept is the value of y when x is 0, indicating the starting point of the line on the y-axis.

Front

In the equation y=mx+b, what does 'm' represent?

Back

The slope of the line, which indicates the steepness and direction of the line.

Front

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

Back

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

Front

What is the slope of a line that rises 7 units and runs 5 units?

Back

The slope is 7/5.

Front

How would you write the equation of a line with a slope of 2/3 and a y-intercept of -3?

Back

y = 2/3x - 3.

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases.

Front

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

Back

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

Front

If a line has a slope of 1/2, what does this mean in terms of rise over run?

Back

For every 2 units you move horizontally (run), the line rises 1 unit.

Front

What is the y-intercept of the line represented by the equation y = 4x + 5?

Back

The y-intercept is 5.