Answered

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Write an equation in slope-intercept form of the line that passes through the
points (-5, -3) and (1, 9).

Sagot :

charliethebest2002

Answer:

[tex]\boxed{\sf{y=2x+7}}[/tex]

Step-by-step explanation:

Use a slope formula and slope-intercept formula.

Slope-intercept formula:

[tex]\sf{y=mx+b}[/tex]

The m represents the slope.

The b represents the y-intercept.

Slope formula:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf{y_2=9}\\\\\sf{y_1=(-3)}\\\\\sf{x_2=1}\\\\\sf{x_1=(-5)}[/tex]

Rewrite the problem down.

[tex]\sf{\dfrac{9-(-3)}{1-(-5)}=\dfrac{9+3=12}{1+5=6}=\dfrac{12}{6}=2 }[/tex]

  • The slope is 2.
  • The y-intercept is 7.

y=2x+7

  • Therefore, the correct answer is y=2x+7.

I hope this helps you! Let me know if my answer is wrong or not.

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