Equation of a line (Graphs and Tables)

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

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

Back

Calculate the change in y divided by the change in x (rise/run) between two points.

Front

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

Back

The y-intercept is the value of y when x = 0, indicating where the line crosses the y-axis.

Front

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

Back

For every 1 unit increase in x, y increases by 2 units.

Front

What is the equation that represents a line with a slope of -3 and a y-intercept of 4?

Back

y = -3x + 4.

Front

How can you identify a linear relationship from a graph?

Back

A linear relationship will show a straight line when plotted on a graph.

Front

What is the significance of the slope in a real-world context?

Back

The slope indicates the rate of change, such as speed or growth rate.

Front

How do you write an equation from a word problem involving a linear relationship?

Back

Identify the variables, determine the slope and y-intercept, then write the equation in the form y = mx + b.

Front

What does it mean if a line is vertical on a graph?

Back

A vertical line indicates that x has a constant value, and the slope is undefined.

Front

What is the equation of a line that passes through the point (2, 3) with a slope of 4?

Back

y - 3 = 4(x - 2) or y = 4x - 5.