Writing Equations & Graphing

Front

What is the equation that models Janelle's savings if she has $20 and saves $6 per week?

Back

y = 6x + 20

Front

What is the equation of the line with a slope of -1/5 and a y-intercept of 2?

Back

y = -\frac{1}{5}x + 2

Front

What is the equation of the line with a slope of -1 and a y-intercept of -1?

Back

y = -x - 1

Front

What is the equation of the line with a slope of 3/2 and a y-intercept of 0?

Back

y = \frac{3}{2}x

Front

What is the equation of the line with a slope of 4 and a y-intercept of 3?

Back

y = 4x + 3

Front

Define slope in the context of a linear equation.

Back

Slope is the measure of the steepness of a line, calculated as the change in y over the change in x (rise/run).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

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.

Front

What is the point-slope form of a linear equation?

Back

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