Graphing Equations Using Intercepts

The video tutorial explains how to graph equations in standard form using x and y-intercepts instead of converting to slope-intercept form. It demonstrates finding intercepts by setting one variable to zero and solving for the other, using two examples to illustrate the process. The tutorial emphasizes the ease of using intercepts and provides tips for accurate graphing.

What method are we using to graph equations in this tutorial?

• Quadratic form

• Standard form using intercepts

• Slope-intercept form

• Point-slope form

What value of y makes the equation -4y = 12 true when x is 0?

• -4

• 4

• 3

• -3

What is the y-intercept of the equation 6x - 4y = 12?

• (-3, 0)

• (3, 0)

• (0, -3)

• (0, 3)

What value of x makes the equation 6x = 12 true when y is 0?

• 2

• 1

• 4

• 3

What is the x-intercept of the equation 6x - 4y = 12?

• (0, 3)

• (3, 0)

• (2, 0)

• (0, 2)

Why is it important to graph carefully when using only two points?

• Because it makes the graph look neat

• Because it ensures the line is straight

• Because it helps in finding more points

• Because it prevents errors in the rest of the line

What is the y-intercept of the equation -5x + 15y = 30?

• (-2, 0)

• (0, 2)

• (2, 0)

• (0, -2)

What value of x makes the equation -5x = 30 true when y is 0?

• 6

• -6

• 5

• -5

What is the x-intercept of the equation -5x + 15y = 30?

• (6, 0)

• (0, 6)

• (-6, 0)

• (0, -6)

Why are intercepts the easiest points to find when graphing?

• Because they make one variable zero

• Because they are always positive

• Because they are always integers

• Because they are at the origin