The equation y = -4x + 10 represents a linear function.
The graph of this equation is a straight line. The coefficient of x (-4) determines the slope of the line. Since it is negative, the line slopes downwards from left to right.
The y-intercept of the line is 10, which means that the line intersects the y-axis at the point (0, 10).
By using the slope-intercept form, we can identify that the slope of the line is -4, which means that for every unit increase in x, y decreases by 4 units.
By connecting these points, we can plot more points and draw a straight line through them.
Interpret the equation y=-4x+10. What type of function does this equation define? Describe its graph.
3 answers
i forgot to give a little more info, here are the options
A. This is a nonlinear function. Its graph is a curve.
B. This is a linear function. Its graph is a straight line with a y-intercept of -4 and a slope of 10.
C. This is a nonlinear function. Its graph has a maximum at (0,10).
D. This is a linear function. Its graph is a straight line with a slope of -4 and a y-intercept of 10.
A. This is a nonlinear function. Its graph is a curve.
B. This is a linear function. Its graph is a straight line with a y-intercept of -4 and a slope of 10.
C. This is a nonlinear function. Its graph has a maximum at (0,10).
D. This is a linear function. Its graph is a straight line with a slope of -4 and a y-intercept of 10.
The correct option is:
D. This is a linear function. Its graph is a straight line with a slope of -4 and a y-intercept of 10.
D. This is a linear function. Its graph is a straight line with a slope of -4 and a y-intercept of 10.