Question

Write an equation of the line that has a slope of 6 and contains (1,1) in point-slope form.

Answer 1

Step 1) y - y1 = m(x - x1)
Step 2) y - y1 = 6(x - x1)
Step 3) y - y1 = 6(x - 1)
Step 4) y - 1 = 6(x - 1)

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Explanation of each step:

Step 1) General Formula for Point Slope Form

Step 2) I replaced the slope m with 6 .

Step 3) I replaced the x1 with 1 as this is the x coordinate of the point the line goes through.

Step 4) I replaced y1 with 1 as this is the y coordinate of the point the line goes through.

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Final Answer: y - 1 = 6(x - 1)

Answer 2

y=mx + b and passing by (1,1)

m= 6 (given), then y = 6x+b. Calculate b:

y = 6x + b
1 = 6(1) + b
b = -5

y = 6x - 5