Equation of Line Given Points and Points & Slope

Front

What is the slope-intercept form of a line?

Back

Front

How do you calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

Front

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

Back

Front

Given points (-4, 2) and (-3, 5), find the slope of the line.

Back

Front

What is the equation of a line that passes through the point (2, -2) with a slope of -1/2?

Back

Front

How do you convert from point-slope form to slope-intercept form?

Back

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line. A positive slope means the line rises, while a negative slope means it falls.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

Front

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

Back

Front

How do you find the equation of a line given two points?

Back

1. Calculate the slope using the two points. 2. Use one point and the slope to write the equation in point-slope form, then convert to slope-intercept form.