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Answer:
3x +2y = 6
Explanation:
The scale of the axes of the supplied graph are not shown. We must infer what they are from the equation of the given line.
The given equation is in slope-intercept form, so we can read the y-intercept from the equation as being -1. This is 1 major grid square below the x-axis.
y = mx + b . . . . . . . line with slope m and y-intercept b
The x-intercept is found by setting y=0 and solving for x.
y = x -1
0 = x -1
1 = x . . . . . . add 1 to both sides
The x-intercept of 1 is shown on the graph as 2 major grid squares from the y-axis. This tells us each major grid square is 1/2 unit in the x-direction and 1 unit in the y-direction.
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Knowing the scaling of the axes, we can determine that the x-intercept of line L is 2, and the y-intercept is 3.
There are several different useful forms of the equation for a line. One of them is "intercept form":
x/(x-intercept) + y/(y-intercept) = 1
Using the above intercept values, this is ...
x/2 + y/3 = 1
Multiplying by 6 puts this in standard form:
3x +2y = 6 . . . . . . . standard form equation for line L
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If we solve for y, we can find the slope-intercept form.
2y = -3x +6
y = -3/2x +3