What is the value of y when x = -22 in the function y = -2/11x - 3? What is the value of x? What is the value of x when

Algebra: Finding the Value of y and x in a Linear Function

Разъяснение: To find the value of y when x = -22 in the function y = -2/11x - 3, we substitute the value of x into the equation and calculate the corresponding value of y. Substituting x = -22, we have:

y = -2/11 * (-22) - 3
y = 44/11 - 3
y = 4 - 3
y = 1

Therefore, when x = -22, the value of y is 1.

To find the value of x when y = -5, we substitute the value of y into the equation and solve for x. Substituting y = -5, we have:

-5 = -2/11x - 3
-2/11x = -5 + 3
-2/11x = -2
x = (-2 * 11) / -2
x = 11

Hence, when y = -5, the value of x is 11.

To find the coordinates of the points of intersection between the graph of this function and the coordinate axes, we set x and y equal to zero and solve for the other variable.

x-intercept: Setting y = 0, we have:
0 = -2/11x - 3
2/11x = -3
x = (-3 * 11) / 2
x = -33/2

Therefore, the x-intercept is (-33/2, 0).

y-intercept: Setting x = 0, we have:
y = -2/11 * 0 - 3
y = -3

Thus, the y-intercept is (0, -3).

Доп. материал:
Find the value of y when x = -22 in the function y = -2/11x - 3.

Совет: When substituting values into a linear function equation, remember to use parentheses for negative numbers to avoid mistakes.

Дополнительное задание: Determine the value of y when x = 5 in the equation y = -3x + 2.