SOLUTION: Hello, could someone help me on this problem please? Thank you for your help. problem #68: Find the slope-intercept form of the equation of the line passing through the points. Sk

Question 104045This question is from textbook Algebra and Trigonometry
: Hello, could someone help me on this problem please? Thank you for your help.
problem #68: Find the slope-intercept form of the equation of the line passing through the points. Sketch the line.
Points: (4,3) (-4,-4)
This question is from textbook Algebra and Trigonometry

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The general form is y = mx+b where m is the slope and b is the y-intercept.
Let's first find the slope using the slope formula:
The ,,, and are the coordinates of the given points (4, 3) and (-4, -4).
Making the appropriate substitutions, we get:

So we can write the first step of the equation using the slope:
Now we need to find the value of b, the y-intercept.
This is done by substituting, in the preceding equation, the x- and y-coordinates of either one of the two given points. Let's use point (4, 3) in which x = 4 and y = 3. Making the appropriate substitutions, we get:
Simplify and solve for b.
Subtract 7/2 from both sides.

Now we can write the final equation:

Here's the graph:

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