FLASHCARD - WRITE EQUATION IN SLOPE-INTERCEPT FORM

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 from 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 -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line falls steeply from left to right.

Front

Write the slope-intercept form of the equation for a line with slope 2 and y-intercept 5.

Back

y = 2x + 5.

Front

What is the slope of the line represented by the equation y = -1/2x + 3?

Back

The slope of the line is -1/2.

Front

How do you convert the equation y = 4x - 7 into slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b, where m = 4 and b = -7.

Front

If the slope of a line is 0, what does this tell you about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

Write the equation of a line with a slope of 1/3 that passes through the point (0, -2).

Back

y = 1/3x - 2.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change; for example, in a distance-time graph, it indicates speed.