A lime passes through the point (5,7) has a slope of 3. Which of the following gives the equation of the line

y=3x-8

Step-by-step explanation:

We can start by writing the equation of the line in point-slope form.

Point-slope form is y-y1=m(x-x1)

This is where:

y1= y-coordinate of a given point on the line

m= slope of the line

x1= x-coordinate of a given point on the line

The given point in this example is (5,7)

A point is (x-coordinate, y-coordinate)

Therefore,

y1=7

m=3

x1=5

Plug that into the form.

y-7=3(x-5)

We can now simplify that to slope-intercept form,since that is most standard.

y-7=3(x-5)

Start by distributing the right side.

y-7=3x-15

Add 7 to both sides.

y=3x-8

its 50 miles away from the starting point

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