60 minutes is 20% of how many minutes show work on a number line
1 answer:
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Answer:
Equation: y=2x-1
Slope: 2
y-intercept: -1
Step-by-step explanation:
Hi there!
We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line
First, let's find the slope
The formula for the slope (m) calculated from two points is where (
,
) and (
,
) are points
We have everything we need for the formula, but let's label the values of the points to avoid any confusion
x1=-1
y1=-3
x2=-2
y2=-5
Now substitute into the formula (remember: the formula has SUBTRACTION):
m=
simplify
m=
add
m=
divide
m=2
So the slope is <u>2</u>
Now let's find the equation of the line
The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We calculated the slope from earlier, so let's substitute that into the equation
y=2x+b
Now we need to find b
The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)
Let's take (-1, -3) as an example
substitute -1 as x and -3 as y into the equation
-3=2(-1)+b
multiply
-3=-2+b
Add 2 to both sides
<u>-1=b (the value of the y intercept!) </u>
Substitute -1 as b into the equation
<u>y=2x-1</u>
We found everything needed for this problem
Hope this helps!
Answer:
Step-by-step explanation:
Converting yards to feet means that we want the label of yards to cancel, leaving feet as our label. Use the factor-label method taught in chemistry.
The yards label cancels out, leaving feet as our label. So to answer the question, in order to convert from yards to feet you are multiplying by 3.