Which of these are less steep?
y=5x+6
y=5x-6
y=x-3
y=x+3
I think it is one of the last two, but I do not know
"steepness" is measured by the absolute value of the slope, m, used in the standard linear equation
y=mx+c
The greater the value of m, the "steeper" is the curve.
If you transform/interpret equations to the above form and compare the values of m in each case, you will find which line is steepest.
what does find the unit rate mean
To determine which of the given equations are less steep, we can look at the coefficients of the x-term. The slope of a linear equation is determined by the coefficient of the x-term.
Let's analyze the given equations:
1. y = 5x + 6
2. y = 5x - 6
3. y = x - 3
4. y = x + 3
In equations 1 and 2, the coefficient of the x-term is 5. Since the coefficient is positive, both equations have positive slopes.
In equations 3 and 4, the coefficient of the x-term is 1. Again, the coefficient is positive, so both equations have positive slopes.
Therefore, to compare the steepness, we need to compare the constant terms, which are the numbers added or subtracted.
In equation 3 (y = x - 3), there is a negative constant term -3. This means that the line will intercept the y-axis at y = -3. Thus, the line will be less steep than the others.
To summarize, the equation y = x - 3 is less steep compared to the other given equations.