1. To find the x-intercept, replace y in the equation with 0, then solve for x.
... To find the y-intercept, replace x in the equation with 0, then solve for y.
If the equation is easily put into the form
... x/a + y/b = 1
Then the x-intercept is "a" and the y-intercept is "b".
2. Let's graph 3x+4y = -12.
If we divide the equation by -12, we can put it into the form
.. x/(-4) + y/(-3) = 1
This equation has x-intercept -4 and y-intercept -3.
(If you know the intercepts, you can simply draw the line through them to graph your linear equation.)
Answer:
The equations that represent the equation of the line are:
y = -2x + 16 ⇒ A
2x + y = 16 ⇒ D
y - 6 = -2(x - 5) ⇒ E
Step-by-step explanation:
The slope intercept form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (y at x = 0)
The formula of the slope is 
∵ The line is passing through points (5 , 6) and (4 , 8)
∴ 
= 5 and 
= 4
∴ 
= 6 and 
= 8
- Substitute them in the formula of the slope to find it
∵ 
∴ m = -2
- Substitute it in the form of the equation
∴ y = -2 x + b
- To find b substitute x and y in the equation by the coordinates
of any point in the line
∵ x = 5 and y = 6
∴ 6 = -2(5) + b
∴ 6 = -10 + b
- Add 10 to both sides
∴ 16 = b
∴ y = -2 x + 16
∴ The equation of the line is y = -2x + 16
∴ A represents the equation of the line
∵ 2x + y = 16
- Subtract 2x from both sides
∴ y = -2x + 16
∴ D represents the equation of the line
∵ y - 6 = -2(x - 5)
∴ y - 6 = -2x + 10
- Add 6 to both sides
∴ y = -2x + 16
∴ E represents the equation of the line
The equations that represent the equation of the line are:
y = -2x + 16 ⇒ A
2x + y = 16 ⇒ D
y - 6 = -2(x - 5) ⇒ E
Answer 5.1
Order them from least to greatest and find the middle number. Or by calculating the mean by adding together the middle values and dividing them by two.
Answer:
x < -36
Step-by-step explanation:
-x/9>4
Multiply each side by -9, remembering to flip the inequality
-x/9 * -9 < 4*-9
x < -36
