Writing Equations REVIEW

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 find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

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, represented by the value of b in the slope-intercept form y = mx + b.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right, meaning for every 1 unit increase in x, y decreases by 2 units.

Front

Write the equation of a line with a slope of 3 that passes through the point (0, 4).

Back

The equation is y = 3x + 4.

Front

What is the meaning of the term 'linear equation'?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form y = mx + b.

Front

How do you convert the equation y = 2x + 3 to standard form?

Back

To convert to standard form, rearrange to get 2x - y = -3.

Front

What is the significance of the coefficients in the equation y = mx + b?

Back

The coefficient m represents the slope of the line, while b represents the y-intercept.

Front

If a line has a positive slope, what can be said about the relationship between x and y?

Back

If a line has a positive slope, as x increases, y also increases.

Front

How can you determine if a point (x, y) lies on the line represented by the equation y = 4x - 1?

Back

Substitute the x-value into the equation and see if the resulting y-value matches the y-coordinate of the point.