Answered

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Convert each equation to slope-intercept form. Then label the slope & y-intercept.

Convert Each Equation To Slopeintercept Form Then Label The Slope Amp Yintercept class=

Sagot :

C. The equation is

[tex]4x-6y=18[/tex]

An equation is in slope-intercept form if it is in the form

[tex]y=mx+c[/tex]

Expressing the given equation in slope-intercept

This gives

[tex]\begin{gathered} 4x-6y=18 \\ -6y=-4x+18 \end{gathered}[/tex]

Divide through by -6

This gives

[tex]\begin{gathered} -\frac{6y}{-6}=-\frac{4x}{-6}+\frac{18}{-6} \\ y=\frac{2}{3}x-3 \end{gathered}[/tex]

Therefore, the slope-intercept form of the given equation is

[tex]y=\frac{2}{3}x-3[/tex]

Where

slope = 2/3

y-intercept = -3

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