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A day full of math games & activities. Find one near you.
Which linear function represents the line given by the point-slope equation y + 7 = -2/3(x + 6)?
f(x) = -2/3x - 11
f(x) = -2/3x - 1
f(x) = -2/3x + 3
f(x) = -2/3x + 13
Solution:
Point slope form is used to represent a straight line using its slope and a point on the line. It means that the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point-slope form.
y - y1 = m (x - x1)
where, (x, y) is a random point on the line and m is the slope of the line.
The given point-slope equation is
y + 7 = -2/3(x + 6)
By further calculation
y + 7 = -2/3 x - 4
y = -2/3 x - 4 - 7
y = -2/3 x - 11
This is of the form y = mx +b
Therefore, the linear function which represents the line is y = -2/3 x - 11.
Which linear function represents the line given by the point-slope equation y + 7 = -2/3(x + 6)?
f(x) = -2/3x - 11
f(x) = -2/3x - 1
f(x) = -2/3x + 3
f(x) = -2/3x + 13
Summary:
The linear function represents the line given by the point-slope equation y + 7 = -2/3(x + 6) is y = -2/3 x - 11.
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