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:

$\begin{gathered} 8=\frac{1}{4}\cdot-1+b \\ b=\frac{33}{4} \end{gathered}$

therefore:

(a)

$y=\frac{1}{4}x+\frac{33}{4}$

(b)

$\begin{gathered} y-\frac{1}{4}x=\frac{33}{4} \\ 4y-x=33 \end{gathered}$