when you're given a point and a slope and you're trying to figure out an equation you use the point-slope equation: y-y1=m(x-x1)
x1 and y1 are the x and y coordinates of the point given and m is the slope
example: slope is 5 point (4/5, 6)
plug them in to the equation
y-6=5(x-4/5)
y-6=5x-4 distribute 5
y=5x-4+6 add 6 to both sides
y=5x+2 combine like terms
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Point: (-6, -2) Slope: 5 Equation: y = 5x+28
Point: (1, 4) Slope: -3 Equation: y = -3x+7
Use point-slope formula
Slope: -3 Point: (4, -5) Equation: y = -3x+7
If (p, q) is any point on the line, then the point slope equation is: (y - q)/(x - p) = 2 or (y - q) = 2*(x - p)