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The equation y=mx + b is used to express the equation of a line. Which solution is a correct way to solve this equation for m in terms of y

The equation ymx b is used to express the equation of a line Which solution is a correct way to solve this equation for m in terms of y class=

Respuesta :

sharafnuha20

y2 – y1 x2 –x1

Answer:

= (mx2 + b) – (mx1 + b) x2 –x1

mx2 – mx1 + b – b

=

=

=

x2 –x1 mx2 – mx1

x2 –x1

m(x2 –x1) x2 –x1

distributive property

=m

No matter which points (x1,y1) and (x2, y2) are

chosen, m = y2 – y1 . x2 – x1

But what does this mean?

Meaning of m = y2 – y1 in y = mx + b x2 – x1

(x2, y2)

•

y2 – y1

(x1, y1)

•

x2 – x1

m = y2 – y1 is the x2 – x1

“rise” (i.e. y2 – y1) over the “run” (i.e. x2 – x1) and

m is called the slope.

Ondinne

Answer:

[tex]\frac{y-b}{x}=m[/tex]

Step-by-step explanation:

1. Take the equation of a line

[tex]y=mx+b[/tex]

2. Subtract b on both sides of the equation to solve for m:

[tex]y-b=mx+b-b[/tex]

3. As b-b is equal to 0, the equation obtained is:

[tex]y-b=mx[/tex]

4. Divide by x on both sides of the equation to solve for m:

[tex]\frac{y-b}{x}=\frac{mx}{x}[/tex]

5. As [tex]\frac{x}{x}=1[/tex], the equation obtained is:

[tex]\frac{y-b}{x}=m[/tex]

where m is correctly solved in terms of y.

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