Standard Form of a Linear Equation

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.

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 

Ax + By = C is __________________

• slope intercept form

• standard form

• point slope form

• domain and range

For 3x + 6y = 24 , find the intercepts

• x is 6 and y is 3

• x is 3 and y is 6

• x is 4 and y is 8

• x is 8 and y is 4

The booster club made $708 on homecoming T-shirt sells. Small t-shirts cost $12 while large t-shirts cost $14. If x is small t-shirts and y is large t-shirts, what equation represents this.

• 12x + 14y = 708

• 14x + 12y = 708

• 708x + 14y = 12

• 12x + 708y = 14

For - 6x + 9y = -18 , find the intercepts

• x is 2 and y is 3

• x is 3 and y is 2

• x is 3 and y is -2

• x is 6 and y is 9

Write an equation in Standard Form.
A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.

• 2x + 5y = 120

• 12x + 15y = 120

• 12 + 15y = 2x

• 12x + 15 = 120

Name the x- and y-intercepts for the equation:
2x + y = 6

• (0, 3) and (6, 0)

• (0, -3) and (-6, 0)

• (3, 0) and (0, 6)

• (-3, 0) and (0, -6)