What is the y-intercept of the line below?
ax+by=c
b
a
−
b
a
c
b
c
The y-intercept of the line is represented by the value of c.
The y-intercept of the line ax + by = c is c/b.
To find the y-intercept of the line represented by the equation ax + by = c, we need to rearrange the equation in the slope-intercept form, which is y = mx + b.
First, let's rearrange the given equation by isolating the y variable:
ax + by = c
by = -ax + c
y = (-a/b)x + c/b
In the slope-intercept form y = mx + b, the coefficient in front of x is the slope (m), and the constant term (c/b in this case) is the y-intercept (b).
Therefore, the y-intercept of the line represented by the equation ax + by = c is c/b.