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Write the slope intercept form of the equation of the line that passes
through the point (-4,-4) and has a slope of 7/4.

Sagot :

Cinderofsoulsssidn

Answer:

[tex]y=\frac{7}{4}x+3[/tex]

Step-by-step explanation:

Slope-intercept form:

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

There are 4 variables here:

  • x, y = any point on the line
  • m = slope of the line
  • b = y intercept of the line

And in your question, 3 of the variables are already given:

  • x = -4
  • y = -4
  • m = 7/4
  • b = ?

Just plug in all the known variables and solve for b:

[tex]y=mx+b\\-4=\frac{7}{4}(-4)+b\\-4=-7+b\\b=3[/tex]

Now, with both the slope and the y-intercept, you can write the equation:

[tex]y=\frac{7}{4}x+3[/tex]

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