–9x + 10y = –9 whats that in slope intercept form
2 answers:
Answer:
Slope intercept form of the line is y =
Step-by-step explanation:
Equation of a line has been given as -9x + 10y = -9
It's a standard form of the equation and we have to convert it into slope intercept form.
Slope intercept form of the line is in the form of y = mx + c
Where m = slope of the line
c = y-intercept of the line
-9x + 10y = -9
10y = 9x - 9
y =
y =
Therefore, slope intercept form of the line will be y =
You might be interested in
Answer:
The minimum value of f(x) is 2
Step-by-step explanation:
- To find the minimum value of the function f(x), you should find the value of x which has the minimum value of y, so we will use the differentiation to find it
- Differentiate f(x) with respect to x and equate it by 0 to find x, then substitute the value of x in f(x) to find the minimum value of f(x)
∵ f(x) = 2x² - 4x + 4
→ Find f'(x)
∵ f'(x) = 2(2) - 4(1)
+ 0
∴ f'(x) = 4x - 4
→ Equate f'(x) by 0
∵ f'(x) = 0
∴ 4x - 4 = 0
→ Add 4 to both sides
∵ 4x - 4 + 4 = 0 + 4
∴ 4x = 4
→ Divide both sides by 4
∴ x = 1
→ The minimum value is f(1)
∵ f(1) = 2(1)² - 4(1) + 4
∴ f(1) = 2 - 4 + 4
∴ f(1) = 2
∴ The minimum value of f(x) is 2