Using the equation y=-2x-5
a. The slope of this line is
b. The y intercept of this line is
c. The x intercept of this line is
(a) and (b) can be read off the (slope-intercept form of) the equation.
for (c), set y=0 and solve for x.
post your answers or troubles.
a. The slope of the line is -2.
b. The y-intercept of the line is -5.
c. To find the x-intercept, we set y to zero and solve for x:
0 = -2x - 5
Adding 5 to both sides:
5 = -2x
Dividing both sides by -2:
-2.5 = x
Therefore, the x-intercept of the line is -2.5.
To find the slope (a) and the y-intercept (b) of the line represented by the equation y = -2x - 5, we need to understand the form of the equation, which is called slope-intercept form. It is given as y = mx + b, where m represents the slope of the line, and b represents the y-intercept. We will use this knowledge to determine the values of the slope and the y-intercept:
a. The slope (m) of the line is the coefficient of x in the equation. In this case, the coefficient of x is -2. Therefore, the slope is -2.
b. The y-intercept (b) is the constant term in the equation, which is the value that y takes when x is 0. In this equation, the constant term is -5. Therefore, the y-intercept is -5.
c. To find the x-intercept, we need to determine the value of x when y is equal to zero. We substitute y = 0 into the equation and solve for x:
0 = -2x - 5
To solve for x, isolate the variable by adding 5 to both sides of the equation:
2x = -5
Next, divide both sides of the equation by 2 to isolate x:
x = -5/2
Thus, the x-intercept is -5/2.