Writing Equations in Slope Intercept Form

Front

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

Back

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

Front

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

Back

The slope m is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the y-intercept of a line?

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

Write the equation of the line that passes through the points (2, 0) and (0, 3).

Back

y = -1/2 x + 3

Front

Write the equation of a line that passes through the point (4, -1) and has a slope of 2.

Back

y = 2x - 9

Front

Write the equation of a line that passes through the points (2, 7) and (0, 1).

Back

y = 3x + 1

Front

What type of line has a slope of 0?

Back

Horizontal

Front

What is the slope of the line that passes through (2, 5) and (2, 12)?

Back

Undefined