SOLUTION: For the linear equation � 7x + 3y = 63 : a. Determine the slope b. Determine the y-intercept (if it exist) c. Express equation in slope-intercept form

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Question 1111246: For the linear equation � 7x + 3y = 63 :
a. Determine the slope
b. Determine the y-intercept (if it exist)
c. Express equation in slope-intercept form
Found 3 solutions by josgarithmetic, math_helper, Theo:
Answer by josgarithmetic(39617)   (Show Source):
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Slope is .
Equation as Ax+By=C has slope .

Solve for y in terms of x to answer the next two questions.

Answer by math_helper(2461)   (Show Source):
You can put this solution on YOUR website!
If you start with part (c), the other two parts fall into place by inspection.
(I took that dash in front of the 7 to be a minus sign, if I'm mistaken, reverse the sign for the 'x' term)
c) -7x + 3y = 63
y = (1/3)(7x + 63)

This corresponds to the slope intercept form y = mx + b where
m = slope and b = y intercept

a) m = _____________
b) b = _____________

Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website!
equation is - 7x + 3y = 63

add 7x to both sides of the equation to get 3y = 7x + 63

divide both sides of the equaton by 3 to get y = 7/3 * x + 63/3

the equation is now in slope intercept form of y = mx + b

m is the slope
b is the y-intercept

the slope is 7/3

the y-intercept is 63/3 which, when simplified, is equal to 21.

here'w the graph of the equation both in its original form and in slope intercept form.

since the equations are identical, the same graph is drawn for both equations.

since 63/3 is equal to 21, another identical graph is shown as well.

that graph is y = 7/3 * x + 21

the graph is shown below.