Answer: [tex]\bold{\text{Slope (m)}=\dfrac{1}{4}}[/tex]
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
[tex]y = -\dfrac{1}{4}x+\dfrac{16}{4}[/tex]
[tex]y=-\dfrac{1}{4}x+4[/tex]
The y-intercept (b) = 4
Next, find the slope given point (4, 5) and b = 4
[tex]y=mx+b\\\\5=m(4)+4\\\\1=4m\\\\\dfrac{1}{4}=m\\\\\\\\\large\boxed{Slope (m)=\dfrac{1}{4}}[/tex]
