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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2).
f(x) = 3x + 1
f(x) = 3x - 1
f(x) = 8x + 10
f(x) = 8x - 10
Solution:
Point slope form is used to represent a straight line using its slope and a point on the line.
That means, the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form.
It is given that,
Point-slope equation y - 5 = 3(x - 2)
y - 5 = 3x - 6
By transposing we get,
y = 3x - 6 + 5
y = 3x - 1
Then,
f(x) = 3x - 1
Therefore, the linear function for the line is f(x) = 3x - 1.
Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2).
f(x) = 3x + 1 f(x) = 3x - 1 f(x) = 8x + 10 f(x) = 8x - 10
Summary:
The linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is f(x) = 3x - 1.
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