Question

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

Answer 1

Answer:

$y=2x+11$

Step-by-step 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:

$y=2x+11$