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Write the equation in point intercept form (2,0) and (4,4)

Sagot :

Answer:

• General equation of a line:

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

  • m is slope

b is y-intercept.

[tex]{ \boxed{ \rm{slope = \frac{y _{2} - y _{1}}{x _{2} - x _{1} } }}} \\ [/tex]

  • y2 → 4
  • y1 → 0
  • x1 → 2
  • x2 → 4

[tex]{ \tt{slope = \frac{4 - 0}{4 - 2} }} \\ \\ { \tt{ = \frac{4}{2} }} \\ \\ { \tt{m = 2}}[/tex]

let's find y-intercept:

[tex]{ \tt{y = mx + b}} \\ \\ { \tt{0 = (2 \times 2) + b}} \\ \\{ \tt{b = {}^{ - }4 }}[/tex]

• therefore, equation of a line is:

[tex]{ \underline{ \underline{ \tt{ \: \: y = 2x - 4 \: \: }}}}[/tex]

romygreen5087

Step-by-step explanation:

Use the formula y2-y1/x2-x1

I plugged in 4-0/4-2=2

y=mx+b

plug in the x and y values

I used the (2, 0) values

0= 2(2)+b

0=4+b

-4= -4

-4=b

Hope this helps :)

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