Standard to Slope-Intercept Form Lesson

Standard to Slope-Intercept Form Lesson

Graphing the Equation

Steps to Rewriting from Standard Form to Slope-Intercept Form

• Move the x-term to the right side using opposite

• Divide every term by the coefficient (number in front) of y

• Answer will look like: y = mx + b

Subtract 6x (the whole term) and divide every term by 2

Rewrite 3x - 5y = 10 like y = mx+b

• First move 3x to the right side by doing opposite (add -3x)

Open Ended

Add -3x to both sides of 3x - 5y = 10.

What does it look like?

Rewrite 3x - 5y = 10 like y = mx+b

• First move 3x to the right side by doing opposite (add -3x)

• -5y = -3x + 10

Rewrite 3x - 5y = 10 like y = mx+b

• First move 3x to the right side by doing opposite (add -3x)

• -5y = -3x + 10

• Then divide EVERY term by -5

Rewrite 3x - 5y = 10 like y = mx+b

• First move 3x to the right side by doing opposite (add -3x)

• -5y = -3x + 10

• Then divide EVERY term by -5

• -5/-5 y = -3/-5 x + 10/-5

Rewrite 3x - 5y = 10 like y = mx+b

• First move 3x to the right side by doing opposite (add -3x)

• -5y = -3x + 10

• Then divide EVERY term by -5

• -5/-5 y = -3/-5 x + 10/-5

• Then simplify the fractions

Open Ended

What does it look like after you simplify:

-5/-5 y = -3/-5 x + 10/-5 ?

Rewrite 3x - 5y = 10 like y = mx+b

• First move 3x to the right side by doing opposite (add -3x)

• -5y = -3x + 10

• Then divide EVERY term by -5

• -5/-5 y = -3/-5 x + 10/-5

• Then simplify the fractions

• y = 3/5x - 2

Fill in the Blanks

What is the slope in the equation y = 3/5 x - 2?

Fill in the Blanks

What is the y-intercept in the equation y = 3/5 x - 2?

Rewrite 3x - 5y = 10 like y = mx+b

• First move 3x to the right side by doing opposite (add -3x)

• -5y = -3x + 10

• Then divide EVERY term by -5

• -5/-5 y = -3/-5 x + 10/-5

• Then simplify the fractions

• y = 3/5x - 2

• Slope is 3/5 and the y-intercept is -2

Multiple Choice

Which equation is 3x + 2y = 8 in slope-intercept form?

• $y=\frac{3}{2}x\ +4$

• $y=-\frac{3}{2}x\ +4$

• $y=3x\ +4$

• $y=-3x+4$

Open Ended

Write the equation 2x + y = 10 in slope-intercept form.