SOLUTION: find the slope and y-intercept of the graph of each equation. 1. x = 2y

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Question 116687This question is from textbook Algebra 1
: find the slope and y-intercept of the graph of each equation.
1. x = 2y - 7
2. y = 1/4x + 3 This question is from textbook Algebra 1

Found 3 solutions by checkley71, camp55, jim_thompson5910:
Answer by checkley71(8403)   (Show Source):
You can put this solution on YOUR website!
X=2Y-7 OR 2Y=X+7 OR Y=X/2+7/2 THE SLOPE=1/2 & THE Y INTERCEPT=7 (RED LINE)
Y=X/4+3 THE SLOPE=1/4 & THE Y INTERCEPT=3 (GREEN LINE)
(graph 300x200 pixels, x from -16 to 5, y from -10 to 10, of TWO functions y = x/2 +7/2 and y = x/4 +3).

Answer by camp55(1)   (Show Source):
You can put this solution on YOUR website!
Just a question, believe there is a typo in the final answer, answer makes sense to me y= 1/2 x + 7/2, but the conclusion states that the y intercept is 7. Should this not be 7/2
CAMP55

Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!
#1

Start with the given equation

Add 7 to both sides

Divide both sides by 2

So the equation in y form is

Let's use the general equation where m is the slope and b is the y-intercept

From , we can see that and

So the slope is and the y-intercept is

Notice if we graph we can see that the slope is and the y-intercept is . So this visually verifies our answer.

#2

Let's use the general equation where m is the slope and b is the y-intercept

From , we can see that and

So the slope is and the y-intercept is

Notice if we graph we can see that the slope is and the y-intercept is . So this visually verifies our answer.

SOLUTION: find the slope and y-intercept of the graph of each equation. 1. x = 2y - 7 2. y = 1/4x + 3