Verified answer

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

m = -7/4

b = -9

y=-7/4x-9

First, plug in the given slope and y interecept into the y intercept equation for a line, y=mx +b:

y = 7/4(x) -9

Multiply both sides by 4:

4y = 7x - 36

Subtract 4y from both sides:

0 = 7x -4y - 36

Finally, add 36 to both sides:

36 = 7x - 4y

or

7x - 4y = 36

y = mx+b

m = slope, b= y-intercept

y = (-7/4)x -9

Standard form: 7x/4 + y = -9

gen form of eqn is y=mx+b

m is the slope

i.e. y = -7/4x + b

b is the y-intercept

y=-7/4x-9

change form to Ax+By=C

7/4x +y=-9

7x+4y=-36

y = -7/4x -9

7/4x + y = -9

y=mx+b

y=-7/4x-9

7/4x+y=-9