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Interpret the equation y=−4x+10

. What type of function does this equation define? Describe its graph.(1 point)
Responses

This is a nonlinear function. Its graph is a curve.
This is a nonlinear function. Its graph is a curve.

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 functio

1 answer

The equation \( y = -4x + 10 \) defines a linear function. The graph of this equation is a straight line.

  1. Type of function: Linear function
  2. Slope: The slope of the line is \(-4\), which indicates that for every one unit increase in \(x\), \(y\) decreases by 4 units.
  3. Y-intercept: The y-intercept is \(10\), meaning the line crosses the y-axis at the point \((0, 10)\).

In summary, the correct interpretation of the equation is: "This is a linear function. Its graph is a straight line with a slope of -4 and a y-intercept of 10."