For slope m and point (x₁, y₁), the point-slope equation of the line can be written as
y -y₁ = m(x -x₁)
You have m = -4 and (x₁, y₁) = (4, -9), so the equation of your line is
D. y+9 = -4(x-4)
3x+17+5x=7x+10
Simplify:
3x+5x+17=7x+10
8x+17=7x+10
Get the variables on one side:
8x-7x+17=7x-7x+10
x+17=10
One-step equation:
x=-7
If you would like to match each time with a time above, you can do this using the following steps:
a 3h 18m 7s = 11887s<span>
3h = 3 * 60m = 180m; 180m + 18m = 198m; 198m = 198 * 60s = </span>11880s; 11880s + 7s = 11887s
b <span> 8300min = approximately 5 days 18 hours
8300min = 8300 * 60s = </span>498000s
8300 min / 60 min = 138h 20min; 138h / 24h = 5 days 18 hours 20min
c 1461 days
1461 days = 1461 * 24 hours = 35064 hours
d <span>44640min. = 31 days
</span><span>44640min / 60min = 744 hours; 744 hours / 24 hours = 31 days
e </span><span>10:21:2.5
</span>10:21:2.5 = 10 hours, 21 minutes, 2 seconds, 50 milliseconds<span>
</span>
Answer:
The equation of the line in the slope-intercept form is y = -5x + 79
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
∵ The slope of the line is -5
∴ m = -5
∵ The form of the equation is y = m x + b
→ Substitute the values of m in the form of the equation
∴ y = -5x + b
→ To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The line passes through the point (18, -11)
∴ x = 18 and y = -11
∵ -11 = -5(18) + b
∴ -11 = -90 + b
→ Add 90 to both sides to find b
∵ -11 + 90 = -90 + 90 + b
∴ 79 = b
→ Substitute it in the equation
∴ y = -5x + 79
∴ The equation of the line in the slope-intercept form is y = -5x + 79
