Question

Consider the following linear equation.6x - 8y = - 32Step 1 of 2: Determine the slope and the y-intercept (entered as an ordered pair) of the equationabove. Reduce all fractions to lowest terms.AnswerKeypadKeyboard ShortcutsSlope:y-intercept:

Answer 1

Slope = 3/4

y-intercept = (0, 4)

Given:

`6x-8y=-32`

We will rewrite this in its slope-intercept form by isolating y.

`\begin{gathered} 6x-8y=-32 \\ -8y=-6x-32 \\ y=(-6x)/(-8)-(32)/(-8) \\ y=(3)/(4)x+4 \end{gathered}`

Our equation is now in its slope-intercept form y=mx+b, where:

m = slope

b = y-intercept

From our equation, we now know that our slope is 3/4.

The y-intercept is the value of y when x = 0, with this, since our y-intercept(b) is 4, this would mean that our y-intercept in the ordered pair is (0, 4).