SOLUTION: Find the slope and y-intercept of the line. (If an answer does not exist, enter DNE.) 7x + 8y = 16 and draw graph

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Question 1205757: Find the slope and y-intercept of the line. (If an answer does not exist, enter DNE.)
7x + 8y = 16 and draw graph

Found 3 solutions by MathLover1, math_tutor2020, josgarithmetic:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


to find the slope and y-intercept, solve for


=> slope is and y-intercept is

and draw graph




Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

Solve for y

7x + 8y = 16
8y = -7x + 16
y = -7x/8 + 16/8
y = (-7/8)x + 2

Compare this to y = mx+b to find...
m = -7/8 = slope
b = 2 = y intercept

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To graph this, plot the point (0,2) to represent the y intercept.
Then move down 7 and right 8 due to the slope. This should have you go from (0,2) to (8,-5)

Plot the points (0,2) and (8,-5). Draw a straight line through them.

Desmos is a handy graphing tool I recommend. Another useful graphing tool is GeoGebra.
If you prefer a TI83 or similar, then stick to that option.

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
--------------------------------------------------------------------
Find the slope and y-intercept of the line. (If an answer does not exist, enter DNE.)
Ax + By = C and draw graph.
------------------------------------------------------------------



-----------which is now in slope-intercept form.
Plot the point (0, C/B) and use the slope to identify one or more
other points; and draw the line through the points.

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