We are given that the rate of change of the linear function is m = -14/7 = -2.
To find the value of the linear function, we can use the point-slope form of the equation for a straight line:
y - y1 = m(x - x1)
Plugging in the given values (x1 = 14, y1 = 3, m = -2), we get:
y - 3 = -2(x - 14)
y - 3 = -2x + 28
y = -2x + 31
Therefore, the linear function is y = -2x + 31.
To find the value of the linear function at x = 14, we substitute x = 14 into the equation:
y = -2(14) + 31
y = -28 + 31
y = 3
So, when x = 14, the value of the linear function is y = 3.
find the value of the linear function, given that the rate of change is m=-14\7,and (14,3) is an (x,y) value of the linear function.
5 answers
what is b
In the equation y = mx + b, the variable b represents the y-intercept of the linear function. The y-intercept is the value of y when x is equal to 0.
In the given linear function y = -2x + 31, the y-intercept is 31. This means that when x is 0, y is equal to 31.
Therefore, in this case, the value of b is 31.
In the given linear function y = -2x + 31, the y-intercept is 31. This means that when x is 0, y is equal to 31.
Therefore, in this case, the value of b is 31.
nope
I apologize for the mistake in my previous responses. Let's find the value of b correctly.
Given that the linear function is y = -2x + b, and (14, 3) is a point on the function, plug in the x and y values of the point into the equation:
3 = -2(14) + b
3 = -28 + b
Now, solve for b:
b = 3 + 28
b = 31
So, the correct value of b in the linear function y = -2x + b is 31.
Given that the linear function is y = -2x + b, and (14, 3) is a point on the function, plug in the x and y values of the point into the equation:
3 = -2(14) + b
3 = -28 + b
Now, solve for b:
b = 3 + 28
b = 31
So, the correct value of b in the linear function y = -2x + b is 31.