Forms of Linear Equations
What is Slope Intercept Form?
y=mx+b
Write an equation when the slope is -2 and the y-intercept is (0,-2)
y= -2x-2
Write an equation of a line that passes through (-3,5) with a slope of 3.
y-5=3(x+3)
Convert the equation from Slope intercept form to standard form:
y=3x-16
-3x+y=-16
What is Standard Form?
Ax+By=C
Write an equation when the slope is 4/5 and the y-intercept is (0,-1).
y=4/5x - 1
Write an equation when you are given (6,6) and a slope of 2.
y-6=2(x-6)
Convert the equation from Slope Intercept Form to Standard Form:
y=-3/4x +0
3x+4y=0
What Form is:
y-y1=m(x-x1)
Point Slope Form
Write an equation for when slope is 1/3 and you have a point (0,-3).
y=1/3x-3
Write an equation of a line that passes through the point (-8,6) and has a slope of -3/4.
y-6=-3/4(x+8)
Write an equation in standard form when given the slope of 3/4 and an y-intercept of -3.
(hint: write in slope intercept form and convert to standard form)
-3x+4y=-12
What formula (or equation) can be used to find slope?
(hint: it is not Rise/Run)
m= y2-y1/x2-x1
Find the slope between the two points.
(0,4) and (3,2)
m= -2/3
Write an equation of a line that passes through the point (7,5) and has a slope of 3.
y-5=3(x-7)
Write an equation in standard form when given the slope of -2/5 and an y-intercept of 2.
(hint: write in slope intercept form and convert to standard form)
2x+5y=10