Question

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 1

We have the following:

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

Equation in slope-intercepr form is:

`y=mx+b`

for b:

`\begin{gathered} 8=(1)/(4)\cdot-1+b \\ b=(33)/(4) \end{gathered}`

therefore:

(a)

`y=(1)/(4)x+(33)/(4)`

(b)

`\begin{gathered} y-(1)/(4)x=(33)/(4) \\ 4y-x=33 \end{gathered}`