Standard Form Intro

Standard Form Intro

Slope-Intercept form of an equation

y = mx + b

Multiple Choice

What does m in y = mx + b tell us?

• Slope

• Y-intercept

Multiple Choice

What does b in y = mx + b tell us?

• Slope

• Y-intercept

Slope-Intercept Form

• y = mx + b

• m tells us the slope (how much the pattern moves by)

• b tells us the y-intercept (where the line touches the y-axis; where the pattern begins)

• y is by itself on one side of the equation

Standard Form

• Ax + By = C

• x and y, multiplied by coefficients, are on the same side of the equation

• We can set x to 0 and find the y-int using By = C

• We can set y to 0 and find the x-int using Ax = C

Recap:

Slope-intercept form:

y = mx + b

Standard form:

Ax + By = C

Multiple Choice

 $y=3x+4$  

• slope-intercept form

• standard form

Multiple Choice

 $5x+3y=4$  

• slope-intercept form

• standard form

Multiple Choice

 $x+2y=15$  

• slope-intercept form

• standard form

Multiple Choice

 $y=-2x+3$  

• slope-intercept form

• standard form

We can convert between standard form and slope-intercept form by getting y by itself