LT.9: Students write linear equations using point-slope formula

Front

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

Back

Front

What does the slope represent in a linear equation?

Back

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

Front

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

Back

Front

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

Back

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

Back

The equation passes through the point (5, -1).

Front

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

Back

Front

Back

The slope is -1, indicating that for every unit increase in x, y decreases by 1 unit.

Front

How can you determine if a point lies on a line represented by an equation?

Back

Substitute the x-value of the point into the equation and check if the resulting y-value matches the y-value of the point.

Front

What is the equation of a line with a slope of 2 that passes through the point (9, -6)?

Back