Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, use the slope formula
to find the slope of the line. Substitute the x and y values of the given points into the formula and solve:

So, the slope is
.
2) Now, use the slope-intercept formula
to write the equation of the line in slope-intercept form. All you need to do is substitute real values for the
and
in the formula.
Since
represents the slope, substitute
for it. Since
represents the y-intercept, substitute 3 for it. (Remember, the y-intercept is the point at which the line hits the y-axis. All points on the y-axis have an x-value of 0. Notice how the given point (0,3) has an x-value, too, so it must be the line's y-intercept.) This gives the following equation and answer:

Answer:
Step-by-step explanation:
the first day he used 30 cups
the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.
so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30
15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply
0.15(x - 30) = 90
0.15x - 4.5 = 90
0.15x = 90 + 4.5
0.15x = 94.5
x = 94.5 / 0.15
x = 630 total cups <==
lets check..
start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it
15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box
Answer:
Step-by-step explanation:
Given the equation y=-2x+1 and given another equation y=mx+b in order for us to have no solution we must guarantee that both lines do not intersect. Recall that m is the slope of the second equation and b the y-intercept. To guarantee that both lines don't intersect, they must be parallel. To have this result, we must have that they have the same slope but different y intercept. That is take m = -2 and b any value different to +1. For example, the b = 6. So
y = -2x+6 = -2(x-3) is another equation that gives no solution to the system.
To write an equation you need a slop and y intercept. To find the slop use the formula y2-y1 /x2-x1. and for the y intercept use the formula y=mx+b
Answer:
So, C, and D.. can easily be marked incorrect. This is because in the question it asks, "Atleast 16" This leaves us with answer choice A and B. Answer choice (A), is a closed circle, while answer choice (B) is an open circle.
Closed circles include the number at the end point (less than/greater than/equal to), and open circles do not (less than greater than).
answer choice A. Closed circle, shifting to the right.