Algebra 1 4.2 Slope Intercept From Two Points

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

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

Front

How do you find the y-intercept (b) of a line given its slope and a point on the line?

Back

Use the formula b = y - mx, where (x, y) is the point on the line.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the first step in finding the equation of a line given two points?

Back

Calculate the slope (m) using the two points.

Front

Given the points (1, 2) and (3, 6), what is the slope of the line?

Back

The slope is 2.

Front

What is the equation of a line that has a slope of 3 and passes through the point (0, 4)?

Back

The equation is y = 3x + 4.