Answer:
3 is your slope; y = 3x - 2 is your equation
Explanation:
Find the slope. Note the slope-formula: slope = (y₂ - y₁)/(x₂ - x₁)
Set the points:
(x₁ , y₁) = (1 , 1)
(x₂ , y₂) = (2 , 4)
Set the corresponding numbers to the corresponding variables
slope = (y₂ - y₁)/(x₂ - x₁)
slope = (4 - 1)/(2 - 1)
Simplify. Remember to follow PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction)
slope = (4 - 1)/(2 - 1)
slope = (3)/(1)
3/1 is your slope
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Note that the slope-intercept form is: y = mx + b
Plug in 3 for slope, and use a point (in this example: (1, 1)
Plug in 3 for slope, or m
Plug in 1 for x, and 1 for y
1 = (3)1 + b
Simplify. Combine like terms
1 = 3 + b
Isolate the variable. Note the equal sign, what you do to one side, you do to the other. Subtract 3 from both sides
1 (-3) = 3 (-3) + b
b = 1 - 3
b = -2
You're Equation of the line is: y = 3x - 2
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