Question

a linear function has the same y-intercept as x + 4y equals 16 and it's graph contains the point (4,5). Find the slope of the linear function. ​

Answer 1

Answer:
`\bold{\text{Slope (m)}=(1)/(4)}`

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 = -(1)/(4)x+(16)/(4)`

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

The y-intercept (b) = 4

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

`y=mx+b\\\\5=m(4)+4\\\\1=4m\\\\(1)/(4)=m\\\\\\\\\large\boxed{Slope (m)=(1)/(4)}`