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)|)))#