Notes on standard form

Notes on standard form

Ax + By = C

x and y intercepts

Multiple Choice

Find the slope of the line.

• 1/2

• -1/2

• 2

• -2

Multiple Choice

What is the y-intercept in the equation y= -2x + 5

• -2

• 3

• 5

• Cannot be Determined

Multiple Choice

What is the slope in the equation:  y=4x+3

• 3
• 4x
• 4
• x

Multiple Choice

_{What is the y-intercept of the line?}

• y = 1/2

• y = 1

• y = -1/2

• y = -1

Multiple Choice

What is the y-intercept of the line graphed below?

• 3

• 4

• -3

• 4/3

Multiple Choice

What is the y-intercept of this graph?

• (0,1)

• (0,-2)

• (0,0)

• (0,3)

What will we learn today?

To find the x- and y- intercept

•using the slope intercept form of a linear equation

•using the standard form of a linear equation  

X and Y Intercepts

X intercepts

crosses x-axis

y-coordinate is 0

(x,0)

Y intercepts

crosses y-axis

x-coordinate is 0

(0,y)

Multiple Choice

Identify the y-intercept of the graph.

• (0, 3)

• (-1, 0)

• (0, -1)

• (3, 0)

Multiple Choice

Identify the x-intercept of the graph.

• (-4, 0)

• (0, -2)

• (0, -4)

• (-2, 0

Multiple Choice

Identify the graph with a x-intercept of 3 and a y-intercept of - 1

Multiple Choice

What is the y-intercept?

• 12

• -3

• 8

• 0

Multiple Choice

What is the x-intercept?

• 12
• -3
• 8
• 0

Standard form

Ax + By = C

useful for finding x and y intercepts.

You can convert slope intercept to standard form.

y = -2x + 5

+2x +2x (add 2x to both sides)

2x+y=5

Find the x-intercept

To find the x-intercept, let y = 0.

3x + 2y = 6 Write the equation.

3x + 2(0) = 6 Replace y with 0.

3x + 0 = 6 Multiply.

3x = 6 Simplify.

x = 2 Divide each side by 3.

The x-intercept is 2.

Find the x-intercept

To find the x-intercept, let y = 0.

3x + 2y = 6 Write the equation.

3x + 2(0) = 6 Replace y with 0.

3x + 0 = 6 Multiply.

3x = 6 Simplify.

x = 2 Divide each side by 3.

The x-intercept is 2.

Find the y-intercept

To find the y-intercept, let x = 0.

3x + 2y = 6 Write the equation.

3x + 2y = 6 Replace y with 0.

3x + 0 = 6 Multiply.

3x = 6 Simplify.

x = 2 Divide each side by 3.

The x-intercept is 2.

Multiple Choice

Give the x-intercept
3x + 8y = 24

• (8, 0)
• (0, 8)
• (3, 0)
• (0, 3)

Multiple Choice

Give the y-interecept
3x + y = 5

• (-3, 0)
• (0,5)
• (-5, 0)
• (0, -3)

Multiple Choice

Give the x-intercept
3x + 8y = 24

• (8, 0)
• (0, 8)
• (3, 0)
• (0, 3)

Multiple Choice

Convert the standard form equation into slope-intercept form.
x + y = -1

• y = x - 1
• y = 27, 239, 430
• y = -1x
• y = -x - 1

Multiple Choice

• y=-3x+1

• y=3x+1

• y=1/3x+1

• y=-1/3x-1