Writing Linear Equations

The slope of a line passing through (4,6) and (-2,5)

1/6

The slope of a line passing through (0,-4) and (5,6)

2

Rewrite y = 2/3x+5 in Standard Form

2x - 3y = -15

Slope of 2/3, y intercept of 0

y = 2/3x

Slope intercept form of equation given a slope of 2/3 and y-intercept of 5

y = 2/3x+5

Write the equation of a line that has a Slope = 2/7, y intercept = 5 in slope intercept form

y = 2/7x + 5

through (0,-2) and (4,1) in slope intercept form

y = 3/4x - 2

Write an equation in Slope Intercept form if the Slope = 0, y intercept = 4

y = 4

Write an equation in Slope Intercept form if the Slope = 4/3, y intercept = 3

y = 4/3x + 3

Slope = 5/3, y intercept = -4 in slope intercept form

y = 5/3x - 4

Point slope form of equation given a slope of -4, passing through (-5,2)

y-2 = -4(x+5)

Point slope form of equation given a slope of 1/5, passing through (4,2)

y-2 = 1/5(x-4)

horizontal lines have

zero slopes

Write the equation of a line that has a Slope = 2/3, passes through the point (-5,4) in point-slope form

y - 4 = 2/3(x + 5)

Slope intercept form of equation given a slope of -4 and y-intercept of -2

y = -4x-2

Write an equation in Slope Intercept form if the Slope = -8 and y intercept = 5

y = -8x + 5

vertical lines have

undefined slopes

Write an equation in Slope Intercept form if the Slope = undefined, through the point (-3, 0)

x = -3

Rewrite y-2 = -4(x+5) in Standard Form

y + 4x = -18

Rewrite y = -4x-2 in Standard Form

y + 4x = -2

Write the equation of a line that has a Slope = -2, and passes through point (4,-6) in point slope form

y + 6 = -2 (x - 4)