Question

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

Answer 1

Hey There!! The answer to this is (6, 10) There are no answer choices, so I will just list a few. But first, we need to create the equation.

Plugging in (5,7) into the equation y=mx+b, we can solve for b since all of the other variables are known, with m=3 as the slope.

So, 7=3*5+b

7=15+b

b = -8

y=3x-8 is your equation.

So, you can plug in any value of x you get a certain value of y.

(1,-5), (2,-2), (3,1), (4,4), (5,7), (6,10), (7,13) Thus, for The correct option (6, 10). Hope It Helped!~ ♡

ItsNobody~ ☆

Answer 2

y=3x-8

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