# How do you find the slope and intercept to graph #7y+8x+6=16+8x#?

##### 1 Answer

Apr 9, 2016

slope = 0 , intercept

#### Explanation:

First , we require to find the equation of the line in the form

y = mx + c, where m represents the gradient (slope) and c , the y-intercept.Rearrange 7y + 8x + 6 = 16 + 8x into this form.

hence : 7y = 16 + 8x - 8x - 6 = 10 → 7y = 10

divide both sides by 7.

# (cancel(7) y)/cancel(7) = 10/7 rArr y = 10/7" is the equation "# This is a special case , of the equation of a line.

It passes through all points on the plane with a y-coord

#= 10/7 #

It is therefore parallel to the x-axis and has a slope = 0Here is the graph of y

#=10/7 #

graph{0x+10/7 [-10, 10, -5, 5]}