Question

A line passes through the point (0, 2) and has a slope of -1/4. What is the equation of the line?
A. 4x + y = 2
B. x - 4y = 8
C. 4x - y = -2
D. x + 4y = 8

I know the slope-intercept form would be y = -1/4 + 2, but I don't know how to convert it to standard.

Answer 1

That is not the Slope-Intercept form. Seems to be an 'x' missing.

y = -(1/4)x + 2

Have you considered multiplying by 4?

Answer 2

Sorry, I didn't mean to leave it out. Would you multiply each one by 4?

Answer 3

The standard form of a line is : ax+by=C
So basically our first step would be to bring the x and the y to the same side and the C which is in this case 2 to the other side of the equation

Answer 4

so the easiest way to do this would be to add (1/4)x to both sides
y+(1/4)x=(1/4)x-(1/4)x+2
y+(1/4)x=2

Answer 5

Now we dont want to have fractions in our equation so in order to gid rid of the fraction we mulitply the whole equation by 4
4*y+4*(1/4)x=2*4
4y+x=8

Answer 6

Thanks so much. I've finally got it

Answer 7

Great :)