Question

Write the equation of the line that has a slope of 2 and passing through (3,-4) point

Answer 1

`y=2x-10`

Explanation:

We know that the line has a slope of 2 and it passes through the point (3, -4).

So, we can use the point-slope form:

`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 (3, -4) for (x₁, y₁). This yields:

`y-(-4)=2(x-3)`

Solve for y. Distribute the right:

`y+4=2x-6`

Subtract 4 from both sides. Therefore, our equation is:

`y=2x-10`