# What is the slope-intercept form of the line passing through # (5, 1)# and # 0, -6) #?

##### 1 Answer

#### Explanation:

Recall that the general formula for a line in slope-intercept form is:

#color(blue)(|bar(ul(color(white)(a/a)y=mx+bcolor(white)(a/a)|)))# where:

#y=# y-coordinate

#m=# slope

#x=# x-coordinate

#b=# y-intercept

**Determining the Equation of the Line**

As long as you do the calculations correctly, it doesn't matter which one you choose. In this case, we will let coordinate

#m=(y_2-y_1)/(x_2-x_1)#

#m=(-6-1)/(0-5)#

#m=(-7)/(-5)#

#m=7/5#

#y=7/5x+b#

#1=7/5(5)+b#

#1=7+b#

#b=-6#

#color(green)(|bar(ul(color(white)(a/a)y=7/5x-6color(white)(a/a)|)))#