Part 1.
The slope is found by the change in Y over the change in X.
In the picture they are finding the difference between the X and Y of each point. They have x1 - y1 over x2-y2, when it should be y2-y1 / x2 - x1.
Part 2:
Slope = Change in Y over change in X:
(4 - 6) / (0 - -2) = -2 / 2 = -1
Slope = -1
Using the point (0,4) tells you the Y-intercept, which is the Y value when x is 0. The Y intercept is added to the slope when writing the equation of a line in point slope form.
The equation is y = -x +4
Part 3:
Find two points on the line by replacing X with 0 and solving for Y and then replace Y with 0 and solve for X. This gives you the X and Y intercepts. Once you have those two points, put them on a graph and then draw a straight line through both dots.
Answer: 3: $3.50 for one pound
4: The value of X is 10
5: P has the value of 2
Step-by-step explanation:
Answer:
the answer is (-4, 5)
Step-by-step explanation:
Let's use elimination by addition / subtraction:
-6x - 2y = 14
6x + 7y = 11
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5y = 25, so y = 5.
Substituting 5 for y in the 2nd equation, we get:
6x + 7(5) = 11, or:
6x + 35 = 11, or
6x = -24, or x = -4.
Thus, the answer is (-4, 5). Please double check to ensure you have copied down both system of equations and answer correctly.
Check: Is (-4, 5) a solution to this system?
Subst. -4 for x and 5 for y in the first equation:
-3(-4) - (5) = 7
12 - 5 = 7 YES
Answer:
$35.10
Step-by-step explanation: