SOLUTION: Write the linear equation 5x - 2y = -8 in slope-intercept form. Find the y-intercept of the line whose equation is 3x + 2y = 11.

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Question 321316: Write the linear equation 5x - 2y = -8 in slope-intercept form.
Find the y-intercept of the line whose equation is 3x + 2y = 11.
Answer by jim_thompson5910(35256) About Me  (Show Source):
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# 1



5x-2y=-8 Start with the given equation.


-2y=-8-5x Subtract 5x from both sides.


-2y=-5x-8 Rearrange the terms.


y=%28-5x-8%29%2F%28-2%29 Divide both sides by -2 to isolate y.


y=%28%28-5%29%2F%28-2%29%29x%2B%28-8%29%2F%28-2%29 Break up the fraction.


y=%285%2F2%29x%2B4 Reduce.


So the equation y=%285%2F2%29x%2B4 is now in slope intercept form y=mx%2Bb where the slope is m=5%2F2 and the y-intercept is b=4 note: the y-intercept is the point


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# 2

y-intercept


To find the y-intercept, plug in x=0 and solve for y


3x+%2B+2y+=+11 Start with the given equation.


3%280%29+%2B+2y+=+11 Plug in x=0.


0+%2B+2y+=+11 Multiply 3 and 0 to get 0.


+2y+=+11 Simplify.


y=%2811%29%2F%282%29 Divide both sides by 2 to isolate y.


So the y-intercept is .