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Write an equation of the line that satisfies the given conditions. Give the equation (a) in siope-intercept form and (b) in standard formm=1/4, (1,8)(a) Write the equation in slope-intercept form(Simplify your answer. Type your answer in slope-interceptformUse integers or fractions for any numbers in the expression(b) Write the equation in standard form(Simplify your answer. Type your answer in standard for

Answer :

We have the following:

m, is the slope is 1/4 and goes through (-1,8)

Equation in slope-intercepr form is:

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

for b:

[tex]\begin{gathered} 8=\frac{1}{4}\cdot-1+b \\ b=\frac{33}{4} \end{gathered}[/tex]

therefore:

(a)

[tex]y=\frac{1}{4}x+\frac{33}{4}[/tex]

(b)

[tex]\begin{gathered} y-\frac{1}{4}x=\frac{33}{4} \\ 4y-x=33 \end{gathered}[/tex]

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