Finding Slope and Y Intercept of Linear Functions

Front

What is the slope in the equation y = mx + b?

Back

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

Front

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

Back

The y-intercept (b) is the value of y when x = 0, representing the starting point of the function.

Front

Write the equation for a function that starts at 5 and increases by 2 for every unit increase in x.

Back

y = 2x + 5

Front

If a line has a slope of -4, what does this indicate about the line's direction?

Back

A slope of -4 indicates that the line descends from left to right.

Front

What is the slope of the line represented by the equation y = 3x - 7?

Back

The slope is 3.

Front

How do you find the slope from 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 = 1x + 2 or y = x + 2.

Front

In the equation y = -5x + 10, what is the y-intercept?

Back

The y-intercept is 10.

Front

If a function is represented by y = 0.5x + 4, what does the 0.5 represent?

Back

The 0.5 represents the slope of the line.

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 means the line is horizontal and does not change in y as x changes.