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Find an equation of the line having the given slope and containing the given point m=-6,(1,7) y= ?
Step 1. Your problem will express your equation in terms of the y-intercept form given as y=mx+b where m is the slope and b is the y-intercept at point (0,b) when x=0 and y=b.
Step 2. For m=-6, then y=-6x+b. Substitute (1,7) or x=1 and y=7 to find b.
Add 6 to both sides to solve for b
Step 3. ANSWER: The equation of the line is y=-6x+13
Note from the graph the slope m=-6 and the y-intercept at 13 as well as going through point (1,7)
I hope the above steps were helpful.
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