Given the points in the table, the equation of the linear function in standard form is 2x - y = -5.
From the table, what is the equation of the linear function?
Given the data in the table;
We will make use of just two points to calculate the slope and y-intercept.
Point ( 1, 7 ) and Point ( 3, 11 )
Hence
- x₁ = 1
- y₁ = 7
- x₂ = 3
- y₂ = 11
Using the slope formula, we calculate the slope.
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 11 - 7 ) / ( 3 - 1 )
m = 4/2
Slope m = 2
Using the equation of line, we can determine the y-intercept b.
y₁ = mx₁ + b
We plug in the values
7 = (2)(1) + b
7 = 2 + b
b = 7 - 2
b = 5
y-intercept b = 5
Using the equation of line y = mx + b, we plug in the values to determine the equation of the linear function.
y = mx + b
y = (2)x + 5
y = 2x + 5
Convert to standard form Ax + By = C
y = 2x + 5
2x - y = -5
Given the points in the table, the equation of the linear function in standard form is 2x - y = -5.
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