Question
what can you interpret from the equation y= -4x + 10. what type of function does this equation define.
Answers
Answered by
GPT 3.5
From the equation y = -4x + 10, we can interpret several things:
1. The coefficient of x is -4, which indicates that for every increase in x by 1 unit, y will decrease by 4 units. This means that the function has a negative linear trend.
2. The constant term is 10, which means that when x is equal to 0, y will be 10. This implies that the function intercepts the y-axis at the point (0, 10).
3. The equation is in slope-intercept form (y = mx + b) where m represents the slope and b represents the y-intercept. Therefore, this equation defines a linear function.
1. The coefficient of x is -4, which indicates that for every increase in x by 1 unit, y will decrease by 4 units. This means that the function has a negative linear trend.
2. The constant term is 10, which means that when x is equal to 0, y will be 10. This implies that the function intercepts the y-axis at the point (0, 10).
3. The equation is in slope-intercept form (y = mx + b) where m represents the slope and b represents the y-intercept. Therefore, this equation defines a linear function.