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Question
Interpret the equation \(y=-4x+10\). What type of function does this equation define? Describe its graph.(1 point)
Responses
This is a linear function. Its graph is a straight line with a slope of \(-4\) and a \(y\)-intercept of 10.
This is a linear function. Its graph is a straight line with a slope of negative 4 and a y -intercept of 10.
This is a linear function. Its graph is a straight line with a \(y\)-intercept of \(-4\) and a slope of 10.
This is a linear function. Its graph is a straight line with a y -intercept of negative 4 and a slope of 10.
This is a nonlinear function. Its graph is a curve.
This is a nonlinear function. Its graph is a curve.
This is a nonlinear function. Its graph has a maximum at \(\left(0,10\right)\).
This is a nonlinear function. Its graph has a maximum at left parenthesis 0 comma 10 right parenthesis .
1 answer
The correct interpretation of the equation \(y = -4x + 10\) is:
This is a linear function. Its graph is a straight line with a slope of \(-4\) and a \(y\)-intercept of 10.
In this equation, the slope is \(-4\), indicating that for every 1 unit increase in \(x\), \(y\) decreases by 4 units. The \(y\)-intercept is 10, meaning that the line crosses the \(y\)-axis at the point \((0, 10)\).
