Linear Equations in Slope Intercept Form given two points

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 the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) represents the point where the line crosses the y-axis, which occurs when x = 0.

Front

Given the points (2, 7) and (0, 1), what is the slope of the line?

Back

The slope (m) is (1 - 7) / (0 - 2) = -6 / -2 = 3.

Front

What is the equation of the line that passes through (2, 7) and (0, 1)?

Back

The equation is y = 3x + 1.

Front

How do you convert two points into the slope-intercept form?

Back

1. Find the slope (m) using the two points. 2. Use one point to solve for b in the equation y = mx + b.

Front

What is the significance of the coordinates (0, b)?

Back

The coordinates (0, b) represent the y-intercept of the line.

Front

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

Back

The equation is y = 2x - 2.

Front

What is the formula to find the y-intercept (b) after finding the slope (m)?

Back

You can find b by rearranging the equation: b = y - mx, using one of the points.

Front

What is the equation of the line that passes through (-3, 4) and (-1, -2)?

Back

The equation is y = -3x - 5.