Interpret the equation y=−4x+10. What type of function does this equation define? Describe its graph.(1 point)

Question

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 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 has a maximum at (0,10).
This is a nonlinear function. Its graph has a maximum at left parenthesis 0 comma 10 right parenthesis .

This is a linear function. Its graph is a straight line with a slope of −4 and a y-intercept of 10.

Answer 1

The equation \( y = -4x + 10 \) defines a linear function.

Interpretation:

• Type of Function: Linear function
• Graph Description: The graph is a straight line.
  • The slope is \(-4\), indicating that for every unit increase in \(x\), \(y\) decreases by 4 units.
  • The y-intercept is \(10\), which means the line crosses the y-axis at the point \((0, 10)\).

Thus, the correct response is: This is a linear function. Its graph is a straight line with a slope of -4 and a y-intercept of 10.