Question

Write the linear equation in slope intercept form 2x+By=16

Answer 1

Answer:

Part 1) $y=-\frac{2x}{B}x+\frac{16}{B}$

Part 2) $y=-\frac{1}{4}x+2$

Step-by-step explanation:

Part 1)

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$2x+By=16$

Isolate the variable y

subtract 2x both sides

$By=-2x+16$

Divide by B both sides

$y=-\frac{2x}{B}x+\frac{16}{B}$

Part 2)

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$2x+8y=16$

Isolate the variable y

subtract 2x both sides

$8y=-2x+16$

Divide by 8 both sides

$y=-\frac{2x}{8}x+\frac{16}{8}$

Simplify

$y=-\frac{1}{4}x+2$