Question

Find the equation of the line with the given slope that passes through the given point. Write the

equation of the line in point slope form:
m = 2 and (-1,-3)

Answer 1

`\displaystyle y + 3 = 2(x + 1)`

Step-by-step explanation:

In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

I am joyous to assist you anytime.

Answer 2

y+3=2(x+1)

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 2 and a point of (-1, -3)

We want to write the equation of this line in point-slope form, which is
`y-y_1=m(x-x_1)`, where m is the slope and
`(x_1, y_1)` is a point

As we are already given the slope and the point, we can immediately substitute these values into the formula to find the equation of the line

Starting with the slope, replace m with 2:

`y-y_1=2(x-x_1)`

And then for
`(x_1, y_1)`, substitute -1 as
`x_1` and -3 as
`y_1`

Note that because there are subtraction signs in the formula, and that we have negative numbers, the when they are substituted, it will become y--3 (y minus negative 3)

y--3=2(x--1)

This can be simplified

y+3=2(x+1)

Hope this helps!