How do you find the graph of the equation that goes through #(0,- 2) ,( 3,- 4)#?

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Answer 1 · 2017-04-07T22:29:50

Find the slope from the changes in x and y. Then solve for #b# by putting in values for x and y .

#y = -2/3x-2#

Slope, #m= ( y_1 - y_2)/( x_1 - x_2)#
Substitution of the value for the two points given results in

Slope = # {-2 - (-4)}/ (0-3) # Simplifying gives

Slope = # 2/-3#

The equation of a line in the slope intercept form is

# y = -2/3x + b#

Substituting the values of the point #( 0 -2)# to solve for b gives

#-2 = -2/3 xx 0 + b#

# -2 = b#

The equation is

# y = -2/3x -2 #