What is the slope-intercept form of the line passing through # (-2, -1)# and #(-1, 7) #?
1 Answer
Dec 17, 2015
Explanation:
The slope-intercept form of a line can be represented by the equation:
#y=mx+b#
Start by finding the slope of the line, which can be calculated with the formula:
#m=(y_2-y_1)/(x_2-x_1)#
where:
Substitute your known values into the equation to find the slope:
#m=(y_2-y_1)/(x_2-x_1)#
#m=(7-(-1))/(-1-(-2))#
#m=8/1#
#m=8#
So far, our equation is
#y=8x+b#
#-1=8(-2)+b#
#-1=-16+b#
#b=15#
Substitute the calculated values to obtain the equation:
#y=8x+15#