Question

Find the equation that has a slope of -1/8 and passes through the point (0,-4)

A. Y= 1/8x
B. Y=1/4x-4
C. Y=-1/8x-4

Answer 1

Option C

Explanation:

Given :-

• The slope of the line is -1/8
• The line passes through (0,-4) .

And we need to find out the equation of the line .We are here given slope and a point . So we can use the slope point form of the line. As ,

`:\sf\implies m ( x - x_1)= y - y_1 \\\\\sf:\implies (-1)/(8)(x -0)= y - (-4) \\\\\sf:\implies (-x)/(8)= y +4 \\\\\sf:\implies \boxed{ \sf\red{y = (-x)/(8)-4}}`

Hence the option C is correct.