Question

Find the equation of the line slope =-4 through (-2,9)

Answer 1

y = -4x + 1

Explanation:

Okay, one way we can find the equation is to plug the x and y values into y = mx + b

We m (slope) is -4 so

y = -4x + b

We want to find b so we plug in x and y (-2 and 9)

9 = -4 (-2) + b

9 = 8 + b

In this case, b is 1

Now we plug this to make our equation,

y = -4x + 1

Answer 2

Hi there!

The question is asking us to find the equation of the line, given that it has a slope of 4, and it passes through (-2,9).

I will go about solving this by using point-slope:

`\sf{y-y_1=m(x-x_1)}`

`\sf{y-9=-4(x-(-2)}`

`\sf{y-9=-4(x+2)}\\\sf{y-9=-4x-8}\\\sf{y=-4x-8+9}\\\sf{y=-4x+1}`

Therefore, the line's equation is y = -4x + 1.

Have a fantastic day!