Converting Between Slope Intercept and Standard Form Linear Equations

What is the correct next step to clearing the denominator to be able to write this equation in standard form?

• add 8 to both sides

• multiply both sides by -1

• multiply all terms on both sides by 4

• flip and multiply

• add y to both sides

Write this equation in Standard Form

13 - 6x - y = 0

• -6x - y = -13

• 13 - 6x = y

• 6x + y = 13

• y = -6x + 13

Which of the following are TRUE?

• The standard form is useful when writing word problems as equations or inequalities.

• The standard form is easy to use zeros to find intercepts

• Converting from standard to slope-intercept form requires you to solve for y

• Converting from slope-intercept to standard form may require you to clear the denominator

• Slope Intercept form is the only way to express a relation between two variables.

What is the standard form of a linear equation?

• y = mx + b

• Ax + By = C

• Ay + Bx + C = 0

For an equation written in standard form Ax + By = C, which of these are TRUE?

• y intercept is when x = 0 so plug 0 in for x and solve for y to get the coordinates of the  y intercept  (0,y)

• x intercept is when y = 0 so plug 0 in for y and solve for x to get the coordinates of the  y intercept  (x,0)

What is the slope:

5x + 10y  = 30

• m = -1/2

• m = 1/2

• m = 3

• m = 1/3

what is the slope intercept form of 9x - y = 9

• y = 9x

• f(x) = 9x - 9

• f(x) = -9x + 9

• y = 9

Rewrite in slope intercept form.

• y = 11/ 4 x − 8

• y = 11 /4 x + 8

• y = 2x -4

• y=2x+4

Rewrite in slope intercept form.

• y = 3/ 2 x + 8

• y = 3/ 2 x - 8

• y = 2/3 x + 8

• y = 2/3x - 8

Rewrite in slope intercept form.

• y=3/4x-6

• y=-4/3x+3

• y=4/3x-3

• y=3/4x+6