Let us write vertices of the given rectangle are PQRS.
Where Q is (c,d) and S is (a,b).
a) Now, we need to find the coordinates of P and R points.
x-coordinate for P is a and y-coordinate of P is d.
<h3>Therefore P is (a,d).</h3>
On the same way, x-coordinate for R is c and y-coordinate of R is b.
<h3>Therefore R is (d,b).</h3>
b) <em>Width of the rectangle is difference of y-coordinates of P and S points</em>.
<h3>Therefore, width = b - d.</h3>
Answer: y = -2x - 4
Step-by-step explanation:
This question asks that you give your answer in slope-intercept form, which is written as y = mx + b, where m is the slope, and b is the y-intercept.
In order to write an equation for this line in slope-intercept form, you need to find the slope and the y-intercept. You can find the slope by selecting any two clear points on the graph and finding the [change in y] ÷ [change in x].
For example, I’ll use (-3, 2) and (-2, 0):
Change in y: 2 - 0 = 2
Change in x: -3 - (-2) = -1
Change in y ÷ Change in x = 2 ÷ (-1) = -2
So, the slope, m, is -2. Finding b, or the y-intercept is a lot more straightforward; you just find where the line intercepts the y-axis, or when x = 0. Looking at the graph, we can see that the y-intercept is -4, so b = -4.
Now, we can put these together in an equation.
y = mx + b, where m = -2 and b = -4
y = -2x -4
Answer:40
Step-by-step explanation:
Answer:
A mathematical equation is an equation with zero or one variables (e.g., 9 = 6 + 3; 9 = x + 3), whereas an algebraic equation
Step-by-step explanation:
Answer:
3x^3 + 3x^2 - 27x - 27
Step-by-step explanation:
