Question

4

Write the equation of the line in slope-intercept form given the following:
Slope 3, yintercept (0,8)
5
Write the equation of the line in point-slope form given the following:
Point : (-5,2), Slope : -3
1
Show Your Work

Answer 1

\bold{\text{Slope (m)}=\dfrac{1}{4}}Slope (m)=41

Explanation:

A linear equation is of the form: y = mx + b where

m is the slope

b is the y-intercept (where it crosses the y-axis)

x + 4y = 16

4y = -x + 16

y = -\dfrac{1}{4}x+\dfrac{16}{4}y=−41x+416

y=-\dfrac{1}{4}x+4y=−41x+4

The y-intercept (b) = 4

Next, find the slope given point (4, 5) and b = 4

\begin{gathered}y=mx+b\\\\5=m(4)+4\\\\1=4m\\\\\dfrac{1}{4}=m\\\\\\\\\large\boxed{Slope (m)=\dfrac{1}{4}}\end{gathered}y=mx+b5=m(4)+41=4m41=mSlope(m)=41