Graphing Linear Equations: From Standard to Slope-Intercept Form

What is the x-intercept of the equation 4x + 5y = 20?

• 5

• 4

• 20

• -5

How do you find the y-intercept of an equation in standard form?

• Divide both sides by the coefficient of y

• Multiply both sides by the coefficient of x

• Set y to 0 and solve for x

• Set x to 0 and solve for y

What is the first step in converting an equation to standard form for graphing?

• Isolate the y variable

• Move the x term to the other side

• Divide both sides by the coefficient of x

• Multiply both sides by the coefficient of y

What does the slope represent in the slope-intercept form of a linear equation?

• Coefficient of x

• x-intercept

• y-intercept

• Rate of change

In the equation y = 2x - 3, what is the y-intercept?

• -2

• -3

• 3

• 2

How do you graph a line using slope-intercept form?

• Divide the slope by the y-intercept

• Use the slope as the x-intercept

• Mark the y-intercept and use the slope to find another point

• Mark the x-intercept and draw the line

What is the y-intercept of the equation y = 2x - 3?

• 3

• 2

• -2

• -3

What is the slope of the equation y = -4/5x + 2?

• 5/4

• -4/5

• 4/5

• -5/4

In the equation y = -4/5x + 2, what direction do you move from the y-intercept using the slope?

• Up 4, right 5

• Down 5, right 4

• Down 4, right 5

• Up 5, right 4

For the equation y = -4/5x + 2, after moving down 4 from the y-intercept, in which direction is the next move?

• Up 4

• Down 4

• Right 5

• Left 5