Find the equation of the line connecting (0, 5) and (-2, 0).
As we go from the first point to the second, x decreases by 2 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/(-2), or 5/2.
Starting with the general equation of a line in slope-intercept form, y = mx + b, substitute the knowns as appropriate to determine the value of b:
y= mx + b => 5 = (5/2)(0) + b. Then b = 5, and the desired equation is
y = (5/2)x + 5.
Check this! If we subst. the coordinates of (-2,0) into this equation, is the equation true?
0 = (5/2)(-2) + 5
Yes. So, y = (5/2)x + 5 is the desired equation.
Answer:When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). ... Remember that each point of a reflected image is the same distance from the line of reflection as the corresponding point of the original figure.
Step-by-step explanation:
They will both next happen in 2040
9514 1404 393
Answer:
$6,797.09
Step-by-step explanation:
The area of the floor is ...
(21 ft)(28 ft) = 588 ft²
Then the cost of the carpet material is ...
(588 ft²)($10.45/ft²) = $6,144.60
The subtotal with installation fee is ...
$6,144.60 +149.00 = $6,293.60
Adding the sales tax multiplies this amount by 1 +8% = 1.08, so the final price is ...
1.08 × $6,293.60 = $6,797.09 . . . total price
The solutions to this equasion are x = 0 and y=1.
