U3L5 Standard Form

Standard Form

Objective: Find the x and y intercepts of equations given in standard form.

Multiple Select

WARMUP: What is the x-intercept and the y-intercept of the line shown?

• y-intercept

  (0,-4)

• y-intercept

  (-4,0)

• x-intercept

  (0,1)

• x-intercept

  (1,0)

Standard Form and Slope Review

Recall: How to find the x-and y-intercepts

Multiple Choice

When you identify the x-intercept, which coordinate is always 0?

(x,y)

• the x-coordinate

• the y-coordinate

​3

​-2

Graph/Grafica

• Graph your x-intercept (-3,0)

• Graph your y-intercept (0,4)

• Draw a line connecting the 2 points

• Grafica tu intersección con el eje x (9,0)

• Grafique su intersección con el eje y (0,6)

• Dibuja una línea que conecte los 2 puntos.

​4

​2

Graph the next example and tell me what the slope is

​EQUATIONS (functions)

​Slope-Intercept Form

y = mx + b

​STANDARD FORM

Ax + By = C

1. ​A, B and C are all integers

2. A is positive

3. The GCF of A, B and C is 1​

Drag and Drop

Given 3x + 4y = 24, the x-intercept is

Placeholder

and the y-intercept is ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

(8,0)

(0,8)

(0,6)

(6,0)

(4,0)

(0,4)

Drag and Drop

Given 5x - 6y = 60, the x-intercept is ​

Placeholder

and the y-intercept is ​

Placeholder

Drag these tiles and drop them in the correct blank above

(12,0)

(0,-10)

(0,24)

(-6,0)

(2,-8)

(-8,2)

(2,0)

(0,-8)

(0,2)

(-8,0)

Drag and Drop

Given -x - 4y = 16, the x-intercept is ​

Placeholder

and the y-intercept is ​

Placeholder

Drag these tiles and drop them in the correct blank above

(-16,0)

(0,-4)

(0,24)

(-6,0)

(2,-8)

(-8,2)

(2,0)

(0,-8)

(0,2)

(-8,0)

​Graphing in Standard Form

​Graph: 2x - 3y = 12

​x-intercept (x,0)

​y-intercept (0,y)

Graphing

Use the x and y intercepts to graph 2x-3y=12?

Graphing

Use the x and y intercepts to graph x-y=3?

Graphing

Use the x and y intercepts to graph -4x+6y=12?