Standard form of a line review

Front

What is the slope-intercept form of a line?

Back

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

Front

What is the standard form of a line?

Back

Ax + By = C, where A, B, and C are integers.

Front

Write the equation in point-slope form given the point (0,5) and a slope of 7.

Back

y - 5 = 7(x - 0).

Front

If a holiday meal costs $12.50 per person plus a delivery fee of $30, what equation represents the total cost for x people?

Back

y = 30 + 12.5x.

Front

Sam ordered 4 tacos and 5 enchiladas for lunch at a total cost of $10.80. What equation represents this situation?

Back

4x + 5y = 10.80.

Front

What does 'm' represent in the slope-intercept form of a line?

Back

The slope of the line.

Front

What does 'b' represent in the slope-intercept form of a line?

Back

The y-intercept of the line.

Front

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

Back

Rearrange y = mx + b to Ax + By = C.

Front

What is the significance of the point (x1, y1) in point-slope form?

Back

It is a specific point on the line used to write the equation.

Front

What is the general form of a linear equation?

Back

Ax + By + C = 0.