Question

Write an equation in standard form with a positive slope and a negative y-intercept.

a) y = -2x + 5
b) 2x - y = 5
c) y = x - 3
d) 3x + y = -7

Write an equation in slope-intercept form with a negative slope and a y-intercept of zero.
a) y = -4x
b) 2y = -8x
c) y = 0
d) y = -x

Write an equation of a vertical line.
a) x = 4
b) y = 2x
c) 3y = 12
d) x = -3

Write an equation of a horizontal line.
a) y = -1
b) 2x - 5y = 10
c) y = 5
d) x = 7

Create a story for a real-life linear equation. Write the story and equation.
a) Story: Tim earns $10 for every hour he works. Equation: y = 10x
b) Story: Sarah's car rental costs $25 per day. Equation: y = 25x
c) Story: Mark is saving $50 per month for a vacation. Equation: y = 50x
d) Story: Lisa can knit 3 scarves in 5 hours. Equation: y = (3/5)x

Answer 1

The answer provides equations in standard and slope-intercept form, equations of vertical and horizontal lines, and real-life linear equations.

Step-by-step explanation:

Linear Equations in Standard Form:

1. a) y = -2x + 5
2. b) 2x - y = 5
3. c) y = x - 3
4. d) 3x + y = -7

Linear Equations in Slope-Intercept Form:

1. a) y = -4x
2. b) 2y = -8x
3. c) y = 0
4. d) y = -x

Equation of a Vertical Line:

1. a) x = 4
2. b) y = 2x
3. c) 3y = 12
4. d) x = -3

Equation of a Horizontal Line:

1. a) y = -1
2. b) 2x - 5y = 10
3. c) y = 5
4. d) x = 7

Real-Life Linear Equation:

1. a) Story: Tim earns $10 for every hour he works. Equation: y = 10x
2. b) Story: Sarah's car rental costs $25 per day. Equation: y = 25x
3. c) Story: Mark is saving $50 per month for a vacation. Equation: y = 50x
4. d) Story: Lisa can knit 3 scarves in 5 hours. Equation: y = (3/5)x