Writing linear equations in slope intercept form.

Writing a linear equation in slope-intercept form

​Type 1 - Given a Slope and y - intercept.

y = m​x + b

Where m is the slope and b is the y-intercept.

• Simply replace the values for m and b into the equation.​

Slope Intercept Form

What is slope-intercept form of an equation for a line?

LInear Equations

#1 Identify the slope and y-intercept from equation and graph

#2 Write the equation for a line in slope-intercept form

Identify the slope and y-intercept from the linear equation: y = 4x - 2

• Slope (m) =

• y-intercept (b) =

Linear Graph

• Identify the Slope: ______

• Identify the y-intercept: _______

• Write the slope-intercept form of the equation. ____________________

Locate the

y-intercept on the graph

What is the y-intercept?

Poll

What is the y-intercept?

• (-4,0)

• (0,-2)

• (0,0)

Find the slope of the graph.

Writing an equation from a graph

Find the y-intercept and slope of the graph to write an equation in slope intercept form.

Map the slope of the graph

Poll

What is the slope of the graph?

• $$\frac{1}{2}$$

• $$-\frac{1}{2}$$

• $$\frac{2}{1}$$

Write the equation of the linear function

y=mx+b

Open Ended

Write the equation that describes the linear function

Multiple Choice

Write an equation that describes the linear function

• $$6x+4y=10$$

• $$y=\frac{1}{2}x-4$$

• $$y=-\frac{2}{3}x+4$$

Multiple Choice

Determine the slope and y-intercept.         y = 3/2x + 3

• slope: 5   y-intercept:  3

• slope: 3/2   y-intercept:  3

• slope:  4  y-intercept:  3/2

• slope: 1/5   y-intercept:  5

Multiple Choice

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6
• y=3x-6
• y=3x+6
• y=6x+3

Multiple Choice

How would you write the equation with a slope of 2/3 and a y-intercept of -3

• y=3/2x+3
• y=2/3-3
• y=2/3x-3
• y=2/3x+3

Multiple Choice

What is the equation of a line when m = -7 and b = -8?

• y = -7x + 8

• y = -7x - 8

• y = 7x - 8

• y = 7x + 8