Slope-Intercept Form
This form of a linear equation is written as y = mx + b.
What is the slope-intercept form?
This form of a linear equation is typically used when you know the slope and one point on the line.
What is the point-slope form?
This form of a linear equation is ax + by = c.
What is the standard form?
This method for solving systems of equations involves solving one equation for a variable and substituting the result into the other equation.
What is substitution?
An arithmetic sequence is a sequence of numbers in which the difference of consecutive terms is constant. This difference is called?
What is the common difference?
In the equation y = 3x + 4, this number represents the slope.
What is 3?
The general form of a point-slope equation is y - y1 = m(x - x1). Identify the role of 'm'.
What is the slope?
Rewrite the equation 3x + 4y = 12 to find the y-intercept.
What is the y-intercept y = 3?
For the system of equations y = x + 2 and y = -x + 6, what is the value of x at the intersection point?
What is x = 2?
In the arithmetic sequence 2, 5, 8, ..., the common difference is?
What is 3?
Given the equation y = -2x + 5, this number is the y-intercept.
What is 5?
Convert the point-slope equation y - 3 = 4(x - 2) into slope-intercept form
What is y = 4x - 5?
Transform y = 2x - 6 into standard form.
What is 2x - y = 6?
Solve the system of equations 2x + 3y = 12 and 4x - y = 5 using any method.
What are x = 2, y = 2?
Find the 5th term in the arithmetic sequence that begins with 10 and has a common difference of 2.
What is 18?
Rewrite the equation 2y = 4x + 8 in slope-intercept form.
What is y = 2x + 4?
Given a point (1, 2) and a slope of 3, write the equation in point-slope form.
What is y - 2 = 3(x - 1)?
Solve for x in the equation 5x + 3y = 15 when y = 0.
What is x = 3?
Solve the system: 2x + y = 7 and x - y = 1 using substitution.
What is x = 2, y = 3?
The formula for the nth term of an arithmetic sequence is a_n = a_1 + (n-1)d. What is the 10th term if a_1 is 7 and d is 3?
What is 34?
Determine the slope of the line given by the equation y = -1/2x + 7.
What is -1/2?
For the line with the equation y - 5 = -2(x + 1), what is the point used in this equation?
What is (-1, 5)?
Given 6x + 2y = 8, convert to slope-intercept form
What is y = -3x + 4?
Determine the values of x and y that satisfy both equations: 3x + 2y = 11 and x - y = 2.
What are x = 3, y = 1?
Calculate the 50th term in the arithmetic sequence where the first term is 4 and the common difference is 7.
What is 347?