Pres Graphing Linear Equations (Section 1.1)

Is that equation linear? y = 3x – 4

Is that equation linear? y = 3x – 4 The equation is in the form y = mx + b, where m = 3 and b = -4, so the equation IS LINEAR.

Is that equation linear? 3y = x + 9

Is that equation linear? 3y = x + 9 Can the equation be arranged into the form y = mx + b?

Is that equation linear? 3y = x + 9 Can the equation be arranged into the form y = mx + b? Yes

Is that equation linear? 3y = x + 9 Divide both sides by 3. y = 1/3 x + 3 The equation is in the form y = mx + b, where m = 1/3 and b = 3, so the equation IS LINEAR.

Is that equation linear? 4y + 16 = 2x

Is that equation linear? 4y + 16 = 2x Can the equation be arranged into the form y = mx + b?

Is that equation linear? 4y + 16 = 2x Can the equation be arranged into the form y = mx + b? Yes

Is that equation linear? 4y + 16 = 2x Subtract 16 from both sides of the equation. 4y = 2x – 16 Divide both sides of the equation by 4. y = ½x – 4 The equation is in the form y = mx + b, where m = ½ and b = -4, so the equation IS LINEAR.

m = -2/1 y-intercept = 3 Start the graph at y-int (3). Use the slope (-2/1) and go down 2 and over 1. Graph: y = -2x + 3

Graph: y = 4x - 2 m = 4/1 y-intercept = -2 Start the graph at y-int (-2). Use the slope (4/1) and go up 4 and over 1.

Graph: 6y + 36 = 6x Rearrange into y=mx+b. Subtract 36 from both sides  6y = 6x – 36. Divide both sides by 6  y = x + 6. m = 1/1 y-intercept = 6 Start the graph at y-int (6). Use the slope (1/1) and go up 1 and over 1.

Does that table represent a linear equation? If so, provide an additional ordered pair. Do the values of x increase at the same rate? Yes, they all increase by 2. Do the values of y increase at the same rate? Yes, they all increase by 1. If you answered “ yes ” to both of these questions, then the table represents a linear equation. 4 8 3 6 2 4 1 2 Y X

Does that table represent a linear equation? If so, provide an additional ordered pair. Do the values of x increase at the same rate? Do the values of y increase at the same rate? If you answered “ yes ” to both of these questions, then the table represents a linear equation. 4 8 3 6 2 4 1 2 Y X

Does that table represent a linear equation? If so, provide an additional ordered pair. Do the values of x increase at the same rate? Do the values of y increase at the same rate? -7 11 -5 9 -3 6 -1 3 Y X

Does that table represent a linear equation? If so, provide an additional ordered pair. Do the values of x increase at the same rate? No Do the values of y increase at the same rate? Yes, they all decrease by 2. We answered “ No ” to the first question, so it does not represent a linear equation. -7 11 -5 9 -3 6 -1 3 Y X

Pres Graphing Linear Equations (Section 1.1)

More Related Content

What's hot (20)

Viewers also liked (7)

Similar to Pres Graphing Linear Equations (Section 1.1) (20)

Recently uploaded (20)

Pres Graphing Linear Equations (Section 1.1)