To find the equation of the linear function that passes through the points (1, 1) and (3, 5), we first need to find the slope of the line.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1) / (x2 - x1)
Substitute the values of the points into the formula:
slope = (5 - 1) / (3 - 1)
slope = 4 / 2
slope = 2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Substitute the slope and one of the points into the formula:
y - 1 = 2(x - 1)
Distribute the 2:
y - 1 = 2x - 2
Add 1 to both sides:
y = 2x - 1
Therefore, the equation of the linear function that passes through the points (1, 1) and (3, 5) is y = 2x - 1.
Write the equation of the linear function that passes through the points ( 1, 1) and ( 3 , 5 ) . Help Video, if needed.(1 point) y= x +
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