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Write the equation that describes each line in slope-intercept form: slope = 3, (4, 6) is on the line.

Sagot :

Marver1ck

Answer:

y = 3x - 6

Step-by-step explanation:

The slope-intercept form of a linear equation is given by:

y = mx + b

m = the slope

b = y-intercept

Using the point-slope form of the equation:

y - y₁ = m(x - x₁)

y - 6 = 3(x - 4)

y - 6 = 3x - 12

y = 3x - 6

So, the answer is y = 3x - 6.

Eloquence

Answer:

y = 3x - 6

Step-by-step explanation:

We're asked to write the equation of the line in slope-intercept form.

We're given that the line passes through (4,6) and has a slope of 3.

So let's write its equation. First, I'm going to use the point-slope formula.

[tex]\bf y-y_1=m(x-x_1)[/tex]

Where:

  • m = slope
  • [tex]\sf (x_1,y_1)[/tex] is a point

Substitute the values:

[tex]\sf y-6=3(x-4)[/tex]

[tex]\sf y-6=3x-12[/tex]

Add 6 to both sides.

[tex]\sf y=3x-12+6[/tex]

[tex]\sf y=3x-6[/tex]

Therefore, the line's equation is: y = 3x - 6.

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