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Find the equation of the line with equal intercepts and passing through the point ( -4, 3/2).
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Since x-intercept is equal to y-intercept, it means that the straight line has an equation of the form
x + y = C,
for some constant C. In particular, the slope of such straight line is -1.
To find the value of the constant C in equation (1), substitute the coordinates x= -4 and y= 3/2
of the given point into the equation. You will get then
C = -4 + 3/2 = -2.5.
Therefore, the final form of the equation is
x + y = -2.5. ANSWER
Solved, answered and explained.
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In his response, @josgarithmetic incorrectly treats the condition of equality of intercepts,
therefore, his "solution" is W R O N G.
For your safety, IGNORE his post.
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After seeing my response, @josgarithmetic changed everything in his post, replaced and re-wrote it, following to my solution..