Question

Find the slope intercept form of slope-2 which passes through (-5,1)

Answer 1

`y=2x+11`

Explanation:

So we know that the slope is 2 and the lines passes through the point (-5,1).

We can use the point-slope form. The point-slope form is:

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

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute 2 for m and (-5,1) for (x₁, y₁), respectively. Therefore:

`y-(1)=2(x-(-5))`

Simplify:

`y-1=2(x+5)`

Distribute the 2:

`y-1=2x+10`

Add 1 to both sides:

`y=2x+11`

So, the equation of our line is:

`y=2x+11`