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A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope-intercept form of the equation 2x+3y=9 is y = 3 - (2/3)x.
What is the equation of a line?
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
How to get the slope-intercept form of a straight line equation?
If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y =mx +c
To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
The slope-intercept form of the equation 2x+3y=9 is,
2x + 3y = 9
3y = 9 - 2x
y = (9 - 2x)/3
y = 3 - (2/3)x
Hence, The slope-intercept form of the equation 2x+3y=9 is y = 3 - (2/3)x.
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