Question

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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

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$\red{\bold{{\underline{ Solution \: with\: Explanation \: :}}}}$

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

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

• Where , m is the slop
• b is the y-intercept (where it crosses the y-axis)

       x + 4y = 16

     4y = -x + 16

       $y = -\dfrac{1}{4}x+\dfrac{16}{4}$

       $y=-\dfrac{1}{4}x+4$

The y-intercept (b) = 4

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

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

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Answer 2

x+4y=16

4y= -x+16

you= - 1/4x+4

There for you=mx +b

5=m (4)+4

1=4m