Find the slope and y-intercept of a line given its equation in the form ax + by = c.
We will use the concept of a straight line in order to find the slope and y-intercept.
Answer: For an equation of the line in the form ax + by = c, y-intercept = (c / b) and slope = -(a / b)
Let us see how we will use the concept of a straight line in order to find the slope and y-intercept.
We have been given an equation that is in the form of ax + by = c.
Let us convert our given equation into the standard form.
ax + by = c
Let us transpose 'ax' on the right-hand side
by = c - ax
Dividing the whole equation by b we get
y = (c - ax) / b
Hence, the final equation can be written as y = (c / b) - (a / b)x