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What is the y-intercept of the line `-3x+y = 15` ?
To find the y-intercept algebraically, rewrite the equation in slope-intercept form, `y = mx + b` , where `m` represents the slope and `b` represents the y-intercept.
`-3x + y = 15`
`-3x+3x + y = 15 + 3x`
`y = 3x + 15`
The y-intercept is (0, 15).
The intercepts of a line are the points where the line intersects the coordinate axes. The y-intercept is a point where the line intersects y-axis. The x-coordinate of this point is 0.
Since the x-coordinate is 0, the y-intercept can be found by plugging in x = 0 into the equation of the line:
`-3x+y = 15`
`-3*0 + y = 15`
`0 + y = 15`
y = 15.
The y-inercept of this line is the point with the coordinates (0, 15). See the graph below:
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