<span>3x + 5y = 2 can be solved for 5y and then for y: 5y = -3x + 2, and so
y = (-3/5)x + 2/5. Slope is -3/5 and y-intercept is (0, 2/5). If you want more info, please ask specifically for what you want.
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Answer:
To ensure uniformity on an exam
Or
To test whether you can distinguish between the two formats
Step-by-step explanation:
Standard form is when a straight line equation is rearranged in the form:

Therefore y=2x+4 in standard form is

The slope-intercept form is when a a straight line equation is written in the form:

where m is the slope and c is the y-intercept.
The given equation is

This is already in slope-intercept form:
The standard form and slope-intercept forms are just formats.
Your instructor may restrict you to leave your answer in one of these formats maybe for uniformity on a test.
You may also decide to rewrite an equation in slope-intercept form, so that you can easily identify the slope and y-intercept easily for graphing purpose.
a- 2/5 + 1/4=.65 mixture of red and blue paint
(2/5) / .65 X 1.625=1 gallon of red paint
(1/4) / .65 X 1.625=5/8 gallons of blue paint, because
1 + 5/8=1 5/8 gallons of purple paint.
b-1/10 + 2/5 + 1/4=.75 mixture of white, red and blue paint
***FINAL answer: 1 gallon red, 5/8 gallon blue.***