Standard Form of a Linear Equation

Name the x- and y-intercepts for the equation:
5x - 3y = 15

• (3, 0) and (0, -5)

• (0, 3) and (-5, 0)

• (5, 15) and (15, 3)

• (0, -3) and (5, 0)

What is the y-intercept of
2x-5y=35?

• (0,-7)

• (-7,0)

• (35/2, 0)

• (0,35/2)

Which linear equation form do you think is easier?

• Standard Form

• Slope-Intercept Form

• Depends on the line

• Exponential Form

Which of the following are written in standard form?

• y=3x-5

• 3x+16=5y

• 2/3 x + 9/13 y = 21

• 5x+7y=-12

Write the standard form of the equation for the graph of this line.

• 4x + 4y = -1

• 4x + 4y = 1

• x/4 + y/4 = 1

• x + y = -4

Write the standard form of the equation for the line:

y = 1/4 x + 4

• x + 4y = 8

• x - 4y = -16

• y = x + 16

• 4y + x = 8

Which equation in standard form represents this graph?

• -3x +2y = -6

• 3x + 2y = 6

• -3x - 2y= 12

• -3x + 2y = -12

Rewrite the standard form equation into slope-intercept form.

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.

Which equation represents the situation?

• 2x - 3y = 240

• 3y - 2x = 240

• 2x + 3y = 240

• 2 + 3 = 240

Jenny went to the sale at Kohl's last weekend.   T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  Let x represent the number of t-shirts and y represent the number of hoodies that she purchased.

• 20x + 15 = y 

• 35x = y 

• 15x + 20y = 150 

• 150 - 20x = 15y