The point-slope form is y-6=3(x+3)y−6=3(x+3), and the slope-intercept form is y=3x+15y=3x+15 .
Determine the slope, mm.
m=(y_2-y_1)/(x_2-x_1)m=y2−y1x2−x1 .
Let (-3,6)=x_1,y_1(−3,6)=x1,y1 and (2,-9)=x_2,y_2(2,−9)=x2,y2 .
m=(-9-6)/(2-(-3))=15/5=3m=−9−62−(−3)=155=3
Point-slope Form
The general formula is y-y_1=m(x-x_1)y−y1=m(x−x1)
Use one of the points given as x_1x1 and y_1y1. I'm going to use point (-3,6)(−3,6) which is consistent with finding the slope.
x_1=-3x1=−3
y_1=6y1=6
m=3m=3.
y-6=3(x-(-3))y−6=3(x−(−3)) =
y-6=3(x+3)y−6=3(x+3)
Slope-intercept Form
The general formula is y=mx+by=mx+b, where mm is slope and bb is the y-intercept.
Solve the point-slope form equation for yy.
y-6=3(x+3)y−6=3(x+3)=
Add 66 to both sides.
y=3(x+3)+6y=3(x+3)+6 =
Distribute the 33.
y=3x+9+6y=3x+9+6 =
y=3x+15y=3x+15
The slope is 33 and the yy-intercept is 1515.
