SOLUTION: Find slope-intercept form of the equation of the line with the following intercepts: x-intercept: -7 y-intercept: 5

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Question 214764: Find slope-intercept form of the equation of the line with the following intercepts:
x-intercept: -7
y-intercept: 5

Found 2 solutions by Earlsdon, drj:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The slope-intercept form is:
y = mx+b Now b, the y-intercept, is given as y = 5, so...
y = mx+5 The x-intercept is given as x = -7 and this occurs when y = 0, so...
0 = m(-7)+5
7m = 5
m = 5/7
The final equation is:
y = (5/7)x+5

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Find slope-intercept form of the equation of the line with the following intercepts:

x-intercept: -7
y-intercept: 5

Step 1. The slope-intercept form of the equation is given as y=mx+b where m is the slope and b is the y-intercept at point(0,5). For our example, b=5.

Step 2. To find the slope we use the x-intercept which means it occurs at point (-7,0) or x=-7 and y=0.

Step 3. Then

y=mx%2Bb=mx%2B5

0=m%2A-7%2B5

0=-7m%2B5

Add 7m to both sides of equation

7m=-7m%2B5%2B7m

7m=5

Divide 7 to both sides of equation

7m%2F7=5%2F7

m=5%2F7

Step 4. ANSWER: The equation of the line is y=5x%2F7%2B5}

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J