Slope-Intercept and Point-Slope form from 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 is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is point-slope form of a linear equation?

Back

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

Front

Convert the point-slope form y - 3 = 2(x + 1) to slope-intercept form.

Back

y = 2x + 5.

Front

What is the y-intercept of the line represented by the equation y = 4x - 7?

Back

The y-intercept is -7.

Front

Identify the slope and y-intercept from the equation y = -3x + 2.

Back

Slope (m) = -3, y-intercept (b) = 2.

Front

Write the equation in slope-intercept form for the line with slope 5 and y-intercept -3.

Back

y = 5x - 3.

Front

How do you convert the equation y = 2x + 1 to point-slope form using the point (1, 3)?

Back

y - 3 = 2(x - 1).

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is 2.

Front

Write the equation in point-slope form for the line passing through (3, 4) with a slope of -1.

Back

y - 4 = -1(x - 3).