Finding Equation of a Line from Two Points

Front

What is the formula to find the slope (m) of a line given two points (x1, y1) and (x2, y2)?

Back

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

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

How do you find the y-intercept (b) of a line if you know the 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 does the slope of a line represent in a real-world context?

Back

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

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 using the two points.

Front

If a line passes through the point (3, 4) and has a slope of 2, what is the equation of the line?

Back

y = 2x - 2.

Front

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

Back

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

Front

How do you convert the point-slope form of a line to slope-intercept form?

Back

Start with y - y1 = m(x - x1) and solve for y.