2x+y−3=0 is it an equation of a straight line
Mathematics
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3 stepsYes, is an equation of a straight line.
Identify the characteristics of a linear equation.
An equation represents a straight line if the highest power of both variables ( and ) is 1, and there are no products of variables (like ).
Rearrange the given equation into the slope-intercept form ().
Given the equation:
To isolate , subtract and add 3 to both sides:
Compare with the slope-intercept form.
The equation is in the form , where (the slope) and (the y-intercept). Since it can be expressed in this form, it represents a straight line.
The answer is .
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