Direct Variation & Slope-Intercept Form (Modified)

Front

What is Direct Variation?

Back

Direct Variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

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 an equation in Slope-Intercept Form?

Back

The slope (m) is the coefficient of x in the equation y = mx + b.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

Write the equation for a canoe rental service that charges a $20 transportation fee and $30 per hour.

Back

y = 30x + 20, where y is the total cost and x is the number of hours.

Front

Back

The slope is -\frac{2}{3}.

Front

Back

The y-intercept is 3.

Front

How do you graph a line given its equation in Slope-Intercept Form?

Back

Start by plotting the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running from the y-intercept.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -2?

Back

The equation is y = 2x - 2.

Front

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

Back

A slope of 0 indicates a horizontal line, meaning the y-value remains constant regardless of the x-value.