Slope
Calculate the slope between the points (1, 2) and (3, 6)
m= (6-2) / (3-1) = 4/2 =2
Write the equation of the line in slope-intercept form with slope m=3 and y-intercept b=−2.
y = 3x - 2
Write the equation of the line in point-slope form with a slope of 4 passing through the point (1, 2).
y - 2 = 4(x - 1)
Calculate the slope of the line passing through (0, -3) and (4, 1).
m = (1 - (-3))/(4-0) = 4/4 = 1
Given the slope m=−1 and y-intercept b=4, write the equation in slope-intercept form.
y = -x + 4
Given a slope of −13-\frac{1}{3}−31 and a point (3, -2), write the equation in point-slope form.
y + 2 = -1/3(x - 3)
Determine the slope of the line that passes through the points (-2, -4) and (2, 2).
m = (2 -(-4))/(2-(-2)) = (2+4)/(2+2) =6/4 = 3/2
Find the equation of the line in slope-intercept form that passes through (0, 6) and has a slope of −3.
y = -3x + 6
Write the equation in point-slope form for the line that passes through (0, -5) with slope of 6.
y + 5 = 6(x - 0)
OR
y + 5 = 6x
Find the slope between the points (-3, 5) and (3, -1).
m = (-1-5)/(3-(-3)) = (-1-5)/(3+3) = -6/6 = -1
Write the equation in slope-intercept form of the line passing through (1, 2) with slope m= 1/2
y = 1/2 x + 3/2
Determine the equation in point-slope form for a line with slope of −2 passing through (-1, 4).
y - 4 = -2(x + 1)
Calculate the slope of the line passing through the points (-5, -7) and (-2, 5).
m = (5-(-7))/(-2-(-5)) = (5+7)/(-2+5) = 12/3 = 4
Determine the equation in slope-intercept form of the line passing through (2, -1) and (4, 3).
First find the slope, then use the point (2, -1) to get y=2x - 5
m = (3-(-1))/(4-2) = (3+1)/(4-2) = 4/2 = 2
Write the equation in point-slope form for the line passing through the points (2, 3) and (5, 6).
First calculate slope, then plug in to point-slope form equation.
y - 3 = 1(x - 2)