Question

Passes through the point (-3,6) and has a slope of -4 . Write an equation for this line.

Answer 1

Answer: y = -4x - 6

Explanation:

Our task is to find the equation of the line that:

• has a slope of -4
• passes through (-3,6)

We're going to use the point-slope formula:

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

Plug in the values:

`\sf{y-6=-4(x-(-3)}`

`\sf{y-6=-4(x+3){`

Use the distributive property:

`\sf{y-6=-4x-12}`

Add 6 to both sides:

`\sf{y=-4x-12+6}`

`\sf{y=-4x-6}`

Answer 2

y = -4x - 6

Explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

We already have the slope as -4, so we need to find the y-intercept by plugging in the number:

6 = -4(-3) + b

6 = 12 + b

b = -6

Now we can write the equation:

y = -4x - 6