Algebra Recap Mix

Front

In standard form of a line (Ax + By = C), the coefficient represented by A cannot be a _________ integer?

Back

negative

Front

Write the equation of the line whose slope is 3 and goes through (-2,1). (Slope-Intercept Form)

Back

y = 3x + 7

Front

Write the equation of the line that goes through the following points in POINT-SLOPE form: (2,-5) & (-1,1)

Back

y + 5 = -2(x - 2) or y - 1 = -2(x + 1)

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

Define the term 'slope' in the context of a linear equation.

Back

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

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 (x=0).

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

Solve for y to isolate it on one side of the equation.

Front

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

Back

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

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

The line is vertical.