How do you find a standard form equation for the line (2,-1) (0,-4)?

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Answer 1 · 2016-07-08T16:19:14

#y = 3/2 x - 4#

The equation of the straight line is given by:

#y= ax +b#

Where a is the slope and b is the y-intercept.

First start by finding the slope. The slope is determined using the following formula:

#a= (y_2 - y_1)/(x_2 - x_1)#

#a = (-4 - (-1))/(0 - 2)#

#a = (-3)/-2#

# a = 3/2#

0 and -4 is a point on the graph. Use its coordinates to find the y-intercept.

#y = 3/2 x + b#

#-4 = 3/2 xx 0 + b#

# b= -4#

graph{3/2 *x - 4 [-10.54, 9.46, -12.28, -2.28]}