(MCA) 3.6 Writing Linear Equations 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 calculate 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 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 y when x = 0.

Front

Given points (2,0) and (0,3), what is the slope of the line?

Back

The slope (m) is calculated as m = (3 - 0) / (0 - 2) = -3/2.

Front

What is the equation of the line in slope-intercept form that passes through (2,0) and (0,3)?

Back

The equation is y = -\frac{3}{2}x + 3.

Front

How do you convert two points into a linear equation?

Back

1. Calculate the slope (m) using the two points. 2. Use one point to find the y-intercept (b). 3. Write the equation in slope-intercept form.

Front

What is the formula for finding the y-intercept (b) using a point (x, y) and the slope (m)?

Back

The formula is b = y - mx.

Front

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

Back

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

Front

What is the equation of the line in slope-intercept form that passes through (2, -2) and (3, 2)?

Back

The equation is y = 4x - 10.

Front

Given points (-2, -1) and (0, 5), what is the slope of the line?

Back

The slope (m) is calculated as m = (5 - (-1)) / (0 - (-2)) = 3.