Linear Equations
What is a Linear Equation? A Linear Equation is a first degree equation with one or more variables. Which of the following choices best describes a first degree equation? An equation that is multiplied by one An equation that includes the number one An equation where all terms are raised to the first power None of the above Choose the equations that represent a first degree problem y = 2x + 3 y - 2x +1 = 0 x - 4 = -2y All of the above Linear = Line Linear equations are graphed on a coordinate plane with an x and y-axis You will be able to graph a linear equations using which items? X-Coordinate Y-Coordinate Slope Y-Intercept All of the above Slope Intercept Form Label each part of the slope-intercept form below Y-coordinate slope x-coordinate y-intercept Drag each sentence to the appropriate column. Place each description in the appropriate column Slope Represents the incline of the line In slope intercept form, it is the m It will always be attached to the variable x Y-Intercept Represents the intersection of the line and the y-axis In slope-intercept form, it is the b It will never be attached to x Slope and y - intercept For the equations below, place a CIRCLE around the slope Slope and Y-Intercept For the equations below, place a SQUARE around the y-inercept Which of the following is a method to find the slope? Identify the B in slope intercept form Use the formula Pick tow points and multiply them None of the above Which of the following is a method for finding the y-intercept? Finding where y = 0 on the chart Identifying the M in an equation Seeing where the y-axis and the line intersect None of the above Which of the following equations are linear? y = 2x + 3 3x + 4 = y (3x + 4)(x + 1) = y None of the above Determine if the equation below is in slope-intercept form. If it is not, put the equation in the correct form x + y = 4 Find the slope in the example below (4,1) AND (3,9) Which of the following choices is the correct y-intercept for the equation: 2y - 8x = 10. (HINT: Let x = 0) 2 5 8 10 None of the above Y-Intercept CIRCLE the y-intercept on the graph below