Question

im really bad with this slope intercept form :(
write an equation in slope intercept form for the line that satisfies the following condition slope 7/18 and passes through (4,-20)

Answer 1

The solpe-intercept form is
y = mx + b
where m = slope, and b is the y-coordinate of the y-intercept which is point (0, b)

Answer 2

You were given that the slope is 7/18. That means you already know m = 7/18, and you can substitute that into the slope-intercept form:
y = (7/18)x + b

Now all you need to do is find b.
Since you know the coordinates of a point, (4, -20), just substitute 4 into x and -20 into y in the equation above and solve for b:
y = (7/18)x + b
-20 = (7/18)*4 + b
-20 = 28/18 + b
-20 = 14/9 + b
Multiply both sides by 9 to get rid of the denominator:
-180 = 14 + 9b
-194 = 9b
9b = -194
b = -194/9

Now that we know b, just substitute its value into the equation above:
y = (7/18)x + b
y = (7/18)x - 194/9