Blazer Time Activity 2: Writing Linear Equations from Tables

Front

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

Back

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

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, indicating how steep the line is and the direction it goes.

Front

What does 'b' represent in the equation y = mx + b?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, calculate the change in y (rise) divided by the change in x (run) between two points.

Front

If a linear equation has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the y-intercept of the equation y = 3x - 5?

Back

The y-intercept is -5, which means the line crosses the y-axis at the point (0, -5).

Front

Write a linear equation for a slope of -1 and a y-intercept of 4.

Back

The equation is y = -1x + 4 or y = -x + 4.

Front

What is the first step to write a linear equation from a table?

Back

Identify two points from the table to calculate the slope.

Front

How do you convert a slope and y-intercept into a linear equation?

Back

Use the slope-intercept form y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What is the linear equation for a slope of 0?

Back

The equation is y = b, where b is the y-value for all x values, indicating a horizontal line.