Slope Intercept Form: y=mx+b

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

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

Front

How do you calculate 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

Write the equation of the line with a slope of -3 and a y-intercept of -5.

Back

y = -3x - 5.

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 for every 1 unit increase in x, y increases by 2 units, meaning the line rises steeply.

Front

What is the slope of the line that passes through the points (0, -2) and (3, -4)?

Back

The slope is -2/3.

Front

Write the equation of the line that passes through the points (6, 3) and (4, 1).

Back

y = 1x - 3.

Front

What is the equation representing the cost of renting a canoe for x hours if the cost is $30 per hour plus a $20 transportation fee?

Back

y = 30x + 20.

Front

How do you find the y-intercept of a line given its slope and a point on the line?

Back

Use the point-slope form: y - y1 = m(x - x1) to find b.