Writing Linear Equations

y = 4

Equation of the line with slope = 0 and y-intercept = 4

x = -3

Equation of the line with undefined slope that goes through the point (-3, 0)

Zero slopes

Horizontal lines have

3x + 4y = 24

Standard form of equation given a slope of -3/4 and y-intercept of 6

4x + y = -18

Standard form of equation given a slope of -4 that passes through the point (-5,2)

6x - 3y = -15

Standard form of equation given a slope of 2 and y-intercept of 5

y = 5

The equation of a horizontal line passing through (-2,5)

x = 8

The equation of a vertical line passing through (8,-4)

2

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

1/6

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

Undefined slopes

Vertical lines have

y + 6 = -2 (x - 4)

Equation of the line in Point-Slope Form with slope = -2 that passes through the point (4,-6)

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

Equation of the line in Point-Slope Form with slope = 2/3 and passes through the point (-5,4)

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

Equation of the line in Point-Slope Form with slope of -4 that passes through the point (-5,2)

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

Equation of the line in Point-Slope Form with slope of 1/5 that passes through the point (4,2)

y = 3/4x - 2

Equation of the line in Slope-Intercept Form that goes through (0,-2) and (4,1)

y = -8x + 5

Equation of the line in Slope-Intercept Form with slope = -8 and y-intercept = 5

y = 2/7x + 5

Equation of the line in Slope-Intercept Form with slope = 2/7 and y-intercept = 5

y = 4/3x + 3

Equation of the line in Slope-Intercept Form with slope = 4/3 and y-intercept = 3

y = 5/3x - 4

Equation of the line in Slope-Intercept Form with slope = 5/3 and y-intercept = -4

y = -4x - 2

Equation of the line in Slope-Intercept Form with slope of -4 and y-intercept of -2

y = 2/3x

Equation of the line in Slope-Intercept Form with slope of 2/3 and y-intercept of 0

y = 2/3x + 5

Equation of the line in Slope-Intercept Form with slope of 2/3 and y-intercept of 5