Use the Slope–Intercept Form of an Equation of a Line: example 4.42

Identify the slope and y-intercept of the line with equation $x + 2 y = 6$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Identify the slope and y-intercept of the line $x + 4 y = 8$ .

How did it go?

Solve for y.	$x + 2 y = 6$
Subtract x from each side.
Divide both sides by 2.
Simplify.
$(Remember: \frac{a + b}{c} = \frac{a}{c} + \frac{b}{c})$
Simplify.
Write the slope–intercept form of the equation of the line.
Write the equation of the line.
Identify the slope.
Identify the y-intercept.

Solve for y.	$x + 2 y = 6$
Subtract x from each side.
Divide both sides by 2.
Simplify.
$(Remember: \frac{a + b}{c} = \frac{a}{c} + \frac{b}{c})$
Simplify.
Write the slope–intercept form of the equation of the line.
Write the equation of the line.
Identify the slope.
Identify the y-intercept.