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slope intercept form is y = mx + b
m is slope, b is y-intercept.

you know slope(m=6) and the point (1, 1)

then, put them into the equation.

y = mx + b
1 = 6*1 + b
1 = 6 + b
1 - 6 = 6 + b - 6
b = -5

now you know slope and y-intercept. so, the answer is
y = 6x -5


if you are still confused, i want you to follow the link below.

http://www.brightstorm.com/d/math/s/algebra/u/linear-equations-and-their-graphs/t/writing-equations-in-slope-intercept-form

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Q: Write the equation in slope intercept form of the line that has a slope of 6 and contains the point 1 and 1?
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