Question

Write an equation in slope-intercept form for the line that has a slope of -4/5 and passes through (0, 7).

Answer 1

A. y =
`-(4)/(5)`x + 7

Explanation:

Slope intercept form is y = mx + b where m is the slope and b is the y-intercept

It gives us the slope, so we can plug that in: y =
`-(4)/(5)`x + b

Next, it gives us a point, so we can plug in the x and y into our equation and solve for b when (x, y)

y =
`-(4)/(5)`x + b

7 =
`-(4)/(5)`(0) + b

7 = b

Last, complete our equation:

y =
`-(4)/(5)`x + b

y =
`-(4)/(5)`x + 7