Graphing Linear Equations

What is the general form of a linear equation?

• y = mx / b

• y = mx - b

• y = mx + b

• y = mx * b

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Explain how to graph a linear equation using the slope-intercept form y=mx+b.

• Use the midpoint formula to find the line

• Ignore the slope and only plot the y-intercept

• Identify the y-intercept (b) and plot it on the graph. Use the slope (m) to find a second point and connect the two points to draw the line.

• Plot the x-intercept first

If the equation is y = 2x + 3, what is the slope and y-intercept?

• Slope: 2, Y-intercept: 3

• Slope: -2, Y-intercept: 5

• Slope: 1, Y-intercept: 4

• Slope: 3, Y-intercept: 2

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Graph the equation y = -3x + 2.

• The graph of the equation y = -3x + 2 is a circle.

• The graph of the equation y = -3x + 2 is a parabola.

• The graph of the equation y = -3x + 2 is a hyperbola.

• The graph of the equation y = -3x + 2 is a straight line with a y-intercept at 2 and a slope of -3.

What does the slope of a line represent in a linear equation?

• Rate of change or steepness of the line

• Width of the line

• Length of the line

• Color of the line

Tags

CCSS.8.EE.B.5

How can you determine if two linear equations are parallel by looking at their slopes?

• Add the y-intercepts of the two linear equations

• Compare the slopes of the two linear equations. If the slopes are equal, then the equations are parallel.

• Multiply the slopes of the two linear equations

• Subtract the slopes of the two linear equations

Tags

CCSS.8.EE.C.8B

If the slope of a line is negative, how does the line appear on the graph?

• The line appears as a curve.

• The line appears as a straight horizontal line.

• The line appears as increasing from left to right.

• The line appears as decreasing from left to right.

Tags

CCSS.8.EE.B.5

Explain how to find the x-intercept of a linear equation.

• Use the quadratic formula to find the x-intercept.

• Set x = 0 in the equation and solve for y.

• Set y = 0 in the equation and solve for x.

• Graph the equation and estimate the x-intercept.

Graph the equation y = 1/2x - 4.

• The graph of the equation y = 1/2x - 4 is a hyperbola.

• The graph of the equation y = 1/2x - 4 is a straight line passing through the points (0, -4) and (2, -3).

• The graph of the equation y = 1/2x - 4 is a circle.

• The graph of the equation y = 1/2x - 4 is a parabola.

What is the significance of the y-intercept in a linear equation?

• The y-intercept is the value of y when x is 0.

• The y-intercept is the x-value when y is 0.

• The y-intercept is always positive.

• The y-intercept is the slope of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3