Answer:
option d. is the correct answer
Answer:
The equation of a parallel line in point-slope form would be f(x) = -5/3x - 14
Step-by-step explanation:
To find this, we must first find the slope of the original line. We can do this by solving for y.
5x + 3y = 8
3y = -5x + 8
y = -5/3x + 8/3
Now that we have the slope of the original line, we can use the point and slope and put them into the base form of point-slope form. Then we solve for y to get the final result.
y - y1 = m(x - x1)
y + 9 = -5/3(x + 3)
y + 9 = -5/3x - 5
y = -5/3x - 14
Then to get the function notation, we need to replace the y with f(x).
f(x) = -5/3x - 14
Answer:
Point Slope: y - 5 = 3 (x-2)
Slope Intercept : y=3x-1
Step-by-step explanation:
1.) y - 5= 3(x-2)
2.) y - 5 = 3x-6
3.) y=3x-1
9514 1404 393
Answer:
translate 4 left and 3 up
Step-by-step explanation:
The value added to the x-coordinate is the translation to the right. Here, it is -4, so the translation is 4 units left.
The value added to the y-coordinate is the translation up. Here, it is +3, so the translation is 3 units up.
The rule effects a translation 4 units left and 3 units up.
Answer:
(x +8)^2 +(y -15)^2 = 289
Step-by-step explanation:
The numbers 8, 15, 17 are a Pythagorean Triple, so we know the radius of the circle is 17. Filling in the given information in the standard equation of a circle, we get ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle with center (h, k) and radius r
(x +8)^2 +(y -15)^2 = 289 . . . . . circle with center (-8, 15) and radius 17
_____
Once you have identified the center (h, k)=(-8, 15) and a point you want the circle to go through (x, y)=(0, 0), evaluate the equation for the circle to find the square of the radius:
(0 +8)^2 +(0 -15)^2 = r^2 = 64+225 = 289
