Writing Equations and Slope

Front

What is the 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

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope is 3/4.

Front

What is the equation of a line in Slope-Intercept form?

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 convert from Point-Slope form to Slope-Intercept form?

Back

To convert, solve for y in the Point-Slope form equation: y - y1 = m(x - x1) to get y = mx + b.

Front

What is the y-intercept of the line y = 2x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

What is the equation of a line with a slope of -2 that passes through the point (1, 3)?

Back

Using Point-Slope form: y - 3 = -2(x - 1) or y = -2x + 5.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you graph a line given its equation in Slope-Intercept form?

Back

Start by plotting the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.