To find a line parallel to the graph of y = (1/2)x + 6, we need to use the fact that parallel lines have the same slope. The given line has a slope of 1/2.
Using the point-slope form of a linear equation, we can write the equation for a line passing through the point (0, 0) as:
y - y₁ = m(x - x₁)
where (x₁, y₁) is the given point and m is the slope of the line.
Substituting the values of the point (0, 0) and the slope 1/2, we get:
y - 0 = (1/2)(x - 0)
Simplifying:
y = (1/2)x
Thus, the equation in slope-intercept form for the line that passes through the point (0, 0) and is parallel to the graph of y = (1/2)x + 6 is y = (1/2)x.
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(0,0); y = 1/2x + 6
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