Identifying Slope and Y-Intercept
The slope in the linear equation y = 3x + 4
What is 3?
The graph of y = 2x + 3 is a line. This is what it looks like
What is a line that crosses the y-axis at 3 and has a slope that goes up 2 and over 1?
Find the equation of a line with a slope of 1 and y-intercept of -5.
What is y = x - 5?
The slope of a graph represents this when the graph models distance over time.
What is speed or velocity?
In the equation y = 5x + 20, representing earnings over time, this is what the y-intercept represents.
What is the initial amount of earnings?
The y-intercept in the linear equation y = -2x+5
What is 5?
The x-intercept of the line with equation y = -4x + 8.
What is 2?
Convert the equation 2x + 3y = 6 into slope-intercept form.
What is y = -2/3x + 2?
What does the y-intercept represent in the equation y = 3x + 15 when modeling cost over time.
What is the initial cost or starting amount?
An equation y = 7x models the relationship of miles run to time in hours. The slope 7 represents this.
What is speed or miles per hour?
The slope of a line parallel to the line y = 6x - 1.
What is 6?
To find the y-intercept of the line y = 5x - 7, this is what you would set x to.
What is 0?
Write the equation of a line parallel to y = -4x + 7 that passes through (0, 3).
What is y = -4x + 3?
In a graph where y represents total cost and x represents the number of items, the slope represents this.
What is cost per item or unit cost?
This will be the equation of a line to describe the total amount spent (y) when buying apples at $3 each, plus a one-time fee of $5.
What is y = 3x + 5?
The y-intercept of the equation of a horizontal line that passes through the point (2, 7).
What is 7?
The coordinates of the y-intercept in the graph of y = -3x + 6.
What is (0, 6)?
Write the equation of a line that passes through the points (1, 2) and (3, 4).
What is y = x + 1?
If the graph of a linear equation is a horizontal line, this is the slope of the line.
What is 0?
If a linear function represents a cell phone bill with fixed base cost and cost per minute, the variable portion of the bill can be expressed like this if it costs $0.10 per minute.
What is 0.10x (where x is the number of minutes)?
The slope of a line perpendicular to the line y = -1/3x + 4.
What is 3?
A line that passes through (0, -2) and has a slope of 4. This is what the equation of the line looks like.
What is y = 4x - 2?
Find the equation of the line perpendicular to y = 2x + 5, passing through the point (4, -3).
What is y = -1/2x - 1?
In the line graph showing temperature over time, the positive slope indicates this about the temperature change.
What is an increase in temperature?
Write an equation to describe the depreciation of a car's value, initially $20,000, decreasing $1,500 per year.
What is y = -1,500x + 20,000?