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.

Explanation:

We have been given an equation that is in the form of ax + by = c.

In order to find its slope and intercept we have to convert the given equation in a standard form that is in the form of y = mx + 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

Thus, y-intercept = (c / b) and slope = -(a / b).