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

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


   



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) About Me  (Show Source):
You can put this solution on YOUR website!

7x+%2B+8y+=+16+
to find the slope and y-intercept, solve for y
+8y+=-7x+%2B+16+
+y+=-%287%2F8%29x+%2B+16%2F8+
+y+=-%287%2F8%29x+%2B+2+=> slope is -%287%2F8%29 and y-intercept is 2

and draw graph
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-%287%2F8%29x+%2B+2%29+



Answer by math_tutor2020(3817) About Me  (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) About Me  (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.
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Ax%2BBy-Ax=C-Ax
By=-Ax%2BC
y=-Ax%2FB%2BC%2FB-----------which is now in slope-intercept form.
Plot the point (0, C/B) and use the slope -A%2FB to identify one or more
other points; and draw the line through the points.