Slope/Intercept

Question

Provide this T.O.V with the Slope/Intercept Form equation and the standard form equation and as well as what points they intercept.

x y
-4 1/3
-3 0
-2 -1/3
-1 -2/3
0 -1
1 -4/3
2 -5/3
3 -2
4 -7/3 

 

Answer 1

 

To construct an equation of the line, you only need 2 of these points.

The easiest points to use are the x and y intercepts ... (-3, 0), and (0, -1)

 

To find the slope of the line, use the slope formula.

 

    m = (y₂ -y₁)/(x₂ - x₁)

        = (-1 - 0)/(0 - - 3)

        = -1/3

 

The slope is -1/3

 

We know that the y=intercept is -1, because (0,-1) is on the line

 

Using slope-intercept form,

 

    y = mx + b

    y = (-1/3)x - 1        

 

To write into standard form,  Ax + By = C

We can multiply all terms by 3 to eliminate the fraction

 

   3y = -x -3

   x + 3y = -3