GRAPHING LINES FROM SLOPE INTERCEPT FORM

Graph the equation.

Problem 1 :

y = - x - 3

Solution :

Comparing the given equation with slope intercept form

y = mx + b

Slope (m) = -1 and y-intercept (b) = - 3

Since the slope is negative, it must be a falling line.

Slope (m) = Rise/Run = -1/1

Rise 1 unit and run 1 unit.

Problem 2 :

y = x - 6

Solution :

Slope (m) = 1 and y-intercept (b) = - 6

Since the slope is positive, it must be a rising line.

Slope (m) = Rise/Run = 1/1

Rise 1 unit and run 1 unit.

Problem 3 :

y = 3x - 4

Solution :

Slope (m) = 3 and y-intercept (b) = - 4

Since the slope is positive, it must be a raising line.

Slope (m) = Rise/Run = 3/1

Rise 3 units and run 1 unit.

Problem 4 :

y = 4x - 1

Solution :

Comparing the given equation with slope intercept form y = mx + b

Slope (m) = 4 and y-intercept (b) = - 1

Since the slope is positive, it must be a rising line.

Slope (m) = Rise/Run = 4/1

Rise 4 units and run 1 unit.

Problem 5 :

f(x) = -1/2x - 1

Solution :

Comparing the given equation with slope intercept form y = mx + b

Slope (m) = -1/2 and y-intercept (b) = - 1

Since the slope is negative, it must be a falling line.

Slope (m) = Rise/Run = 1 / 2

Rise 1 unit and run 2 units.

Problem 6 :

f(x) = -5/4x + 1

Solution :

Slope (m) = -5/4 and y-intercept (b) = 1

Since the slope is negative, it must be a falling line.

Slope (m) = Rise/Run = 5 / 4

Rise 5 units and run 4 units.

Problem 7:

f(x) = 5/3x + 4

Solution : 

Slope (m) = 5/3 and y-intercept (b) = 4

Since the slope is positive, it must be a rising line.

Slope (m) = Rise/Run = 5/3

Rise 5 units and run 3 unit.