Interpret the equation y=−4x+10

Question

. 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 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 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 has a maximum at (0,10)
.

Answer 1

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

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

Therefore, the most accurate response would be:

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