SOLUTION: Point (1, –2) , m = –5.

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Question 225964: Point (1, –2) , m = –5.
Found 2 solutions by rfer, drj:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
y=mx+b
y=-5x+3

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Point (1, –2) , m = –5.

I assume you want to write the slope intercept form of the equation of the line through the given point (1,-2) with the given slope m=-5.

Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b).

Step 2. Now we have to find the line with slope m=-5 going through point (1,-2).

Step 3. Given two points (x1,y1) and (x2,y2), then the slope m is given as

m=%28y2-y1%29%2F%28x2-x1%29

Step 4. Let (x1,y1)=(1,-2) or x1=1 and y1=-2. Let other point be (x2,y2)=(x,y) or x2=x and y2=y.

Step 5. Now we're given m=-5. Substituting above values and variables in the slope equation m yields the following steps:

m=%28y2-y1%29%2F%28x2-x1%29

-5=%28y-%28-2%29%29%2F%28x-1%29=%28y%2B2%29%2F%28x-1%29

Step 6. Multiply x-1 to both sides to get rid of denominator on right side of equation.

-5%28x-1%29=y%2B2

-5x%2B5=y%2B2

Step 7. Add -2 to both sides of the equation

-5x%2B5%2B%28-2%29=y%2B2%2B%28-2%29

-5x%2B3=y

Step 7. ANSWER: The equation in slope-intercept form is y=-5x%2B3 where the slope m=7 and the y-intercept b=-5.

Note: the above equation can be rewritten in standard form as

5x%2By=%2B3

And the graph is shown below which is consistent with the above steps.

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 5+x+%2B+1+y+=+3 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-5%2F1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 3/5 = 0.6.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 3/1 = 3.
  • Slope is -5/1 = -5.
  • Equation in slope-intercept form: y=-5*x+3.
graph%28+500%2C+500%2C+0.6-8%2C+0.6%2B8%2C+3-8%2C+3%2B8%2C+-5%2Ax%2B3+%29+



I hope the above steps and explanation were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV