Question

Write the standard form of the line that contains a slope of -3/8 and passes through the point (5, -4). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answer 1

y - (-4) = -3/8(x - (5))
y + 4 = -3/8(x - 5)
The standard form is y + 4 = -3/8(x - 5)

Answer 2

`y + (3x)/(8) = -(17)/(8)`

Explanation:

Hello

we know a point and the slope , it is possible use the slope-point equation to find the function

`y-y_(0) =m(x-x_(0) )\\`

Let

`Point(5,-4)\\m=-(3)/(8) \\\\`

replacing

`y-y_(0) =m(x-x_(0) ) \\y-(-4) =-(3)/(8)(x-5 )\\y+4=-(3x)/(8)+ (15)/(8) \\y+4 =-(3)/(8)(x-5 )\\y+4=-(3x)/(8)+ (15)/(8)\\y + (3x)/(8) = (15)/(8)-4\\\\y + (3x)/(8) = -(17)/(8)\\`

the standard form is

`y + (3x)/(8) = -(17)/(8)\\`

Have a great day