Write the Equation of the Line: Given two points

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line 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 the y-intercept (b) represent in the equation of a line?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

Given the points (2, 3) and (4, 7), what is the slope of the line?

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

Write the equation of a line with a slope of 3 that passes through the point (1, 2).

Back

The equation is y = 3x - 1.

Front

What is the equation of a line that passes through the points (0, 0) and (5, 10)?

Back

The equation is y = 2x.

Front

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

Back

Start with y - y1 = m(x - x1) and solve for y to get y = mx + (y1 - mx1).

Front

What is the point-slope form of a line?

Back

The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

Given the slope m = -2 and the point (3, 4), write the equation of the line in point-slope form.

Back

The equation is y - 4 = -2(x - 3).

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning the y-value remains constant regardless of the x-value.