Point-Slope & Slope Intercept

Given m = 3, b = 2 write an equation in slope-intercept form

y = 3x + 2

Convert to slope-intercept form y - 3 = 2(x + 3)

y= 2 x+9

Convert to slope-intercept form y + 2 = 3(x - 4)

y= 3 x-14

Convert to slope-intercept form y - 2 = 3/4x

y= 3/4x+2

Convert to slope-intercept form y + 2 = 5(x - 1)

y= 5 x-7

Write the equation of the line in point-slope form ( -3 , 6 ) m= 0

y= 6

Convert to slope-intercept form y + 2 = 6(x - 3)

y= 6 x-20

Convert to slope-intercept form y - 3 = x - 3

y= x

Given m = 1/2, b = -1 write an equation in slope-intercept form

y = 1/2x - 1

Convert to slope-intercept form y-6 = -(x-1)

y= - x+7

Convert to slope-intercept form y + 3 = -2/3(x + 3)

y= -2/3 x-5

Convert to slope-intercept form y - 5 = 1/2(x + 2)

y= 1/2x+4

Given (-3, 2), m = -5 write an equation in slope-intercept form

y - 2 = -5(x + 3)

Write the equation of the line in point-slope form ( 4 , 4 ) m= 3

y - 4 = 3 (x - 4)

Write the equation of the line in point-slope form ( 1 , 5 ) m= -2

y - 5 = -2(x - 1)

Write the equation of the line in point-slope form ( 0 , 5 ) m= -1

y - 5 = -x

Given y + 4 = (1/2)(x - 6) name the slope and point on the line

slope (1/2) point (6, -4)

Given y - 2 = (1/4)(x + 3) name the slope and point on the line

slope (1/4) point (-3, 2)

Given y = x + 4.5 name the slope and y-intercept

slope = (1) y-int. = 4.5

Given y = (2/7)x name the slope and y-intercept

slope = (2/7) y-int. = 0

Given y - 1 = (x) name the slope and point on the line

slope = 1 point (0, 1)

Given y - 5 = 3(x - 7) name the slope and point on the line

slope = 3 point (7, 5)

Given y = 4x -10 name the slope and y-intercept

slope = 4 y-int. = -10

Write the equation of the line in point-slope form ( 3 , -1 ) m= -4

y + 1 = -4(x - 3)

Given (4, -1), m = 3 write an equation in point-slope form

y + 1 = 3(x - 4)

Write the equation of the line in point-slope form ( -3 , -11 ) m= 1

y + 11 = x + 3