Answer:
\bold{\text{Slope (m)}=\dfrac{1}{4}}Slope (m)=41
Step-by-step 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
