An equation of a line parallel to y=x-6, must have the same slope.
In this equation:
y=mx+b (slope-intercept form)
m is the slope:
The slope of the equation y=x-6 is m=1 (the number beside "x").
Now we have a point (-1,5) and the slope m=1.
Point-slope form of a line:
y-y₀=m(x-x₀)
so:
y-5=1(x+1)
answer: the equation of the line in point-slope form is :
y-5=1(x+1)
And the eqution of this line in slope-intercept form is:
y=x+6
y-5=(x+1)
y=x+1+5
y=x+6
Answer:
length ofGH
Step-by-step explanation:
distance=√{(-2+9)²+(-6+4)²}=√{7²+(-2)²}=√53=7.28=7.3 units
Answer:
13.44 or 13 11/25 hours
Step-by-step explanation:
First use this format: number of essays/hours
- they are asking if all three work together, how many hours would it take, so this means addition:
50/7 + 50/14 + 25/6 = 200/x
Second, solve:
- least common multiple: 42
300/42 + 150/42 + 175/6 = 200/x
625/42 = 200/x
- cross-multiply
625x = 8,400
x = 336/25 = 13 11/25 = 13.44 (any one of these answers would work)
Answer:
40
Step-by-step explanation:
the length would be 40 because four tens equals 40.
Answer:
<h3>
The y value achieves its minimum at x = 4/3</h3>
Step-by-step explanation:
Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.
At the turning point, dy/dx = 0
Given y = 3x² - 8x + 7
The y value achieves its minimum at x = 4/3
