Block 3 Slope-Intercept

Front

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

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

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

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How does changing the slope affect the graph of a line?

Back

Increasing the slope makes the line steeper; decreasing the slope makes it flatter.

Front

What is the parent function of linear equations?

Back

The parent function is y = x.

Front

If the slope of a line is 1/2, what does this indicate about the line?

Back

The line rises 1 unit for every 2 units it runs to the right.

Front

What transformation occurs when the equation is y = 3x + 5 compared to y = x?

Back

The line is steeper and shifted up 5 units.

Front

What transformation occurs when the equation is y = 2x - 3 compared to y = x?

Back

The line is steeper and shifted down 3 units.

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 equation of a line with a slope of -1 and a y-intercept of 2?

Back

y = -x + 2.