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

Question

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. 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 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.

Answer 1

The equation \( y = -4x + 10 \) defines a linear function. Its graph is a straight line with a slope of -4 and a y-intercept of 10.

• The slope of -4 means that for every 1 unit increase in \( x \), \( y \) decreases by 4 units.
• The y-intercept indicates that the line crosses the y-axis at the point (0, 10).

The correct description from your options would be: "This is a linear function. Its graph is a straight line with a slope of -4 and a y-intercept of 10."