Question

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 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.

Description of the graph:

• The graph is a straight line.
• The slope of the line is \(-4\), which means that for each unit increase in \( x \), \( y \) decreases by 4 units (indicating that the line slopes downwards).
• The y-intercept is \( 10\), meaning the line crosses the y-axis at the point \((0, 10)\).

So the correct interpretation is:

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