Answer
Option D is the equation whose y-intercept is 5.
4x + 6y = 30
Step-by-step explanation
The slope and y-intercept form of the equation of a straight line is given as
y = mx + b
where
y = y-coordinate of a point on the line.
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
b = y-intercept of the line.
So, we just need to express the given equation of different lines in the standard form and obtain our b
Option A
4x - 5y = 30
-5y = -4x + 30
Divide through by -5
y = 0.8x - 6
b = y-intercept = -6
Option B
4x - 6y = 30
-6y = -4x + 30
Divide through by -6
y = -0.667x - 5
b = y-intercept = -5
Option C
4x + 5y = 30
5y = -4x + 30
Divide through by 5
y = -0.8x + 6
b = y-intercept = 6
Option D
4x + 6y = 30
6y = -4x + 30
Divide through by 6
y = -0.667x + 5
b = y-intercept = 5
Hope this Helps!!!