Answer:
Step-by-step explanation:
hello :
Use the point-slope formula.
y - y_1 = m(x - x_1)
in this exercice : m=6 and x_1 = -4 and y_1 =4
y-4 =6(x+4)
y = 6x+24+4
y=6x+28.....answer : d
A function is shifted vertically upwards/downwards by adding/subtracting a constant value to the function.
In this case f(x) was shifted upwards by 3 units.
Answer:
3x - 2y = 1
Step-by-step explanation:
Step 1: Find the slope
slope m = (y2 - y1)(/x2 - x1)
m = (4 - 1)/(3 - 1) = 3/2
Step 1: Use the formula y = mx + b to solve
This is slope-intercept form of a line. We have a slope of 3/2, and a point (x, y), which is (1, 1). Plug those values into the equation above and solve for b (the only variable we are missing
1 = (3/2)(1) + b
1 = 3/2 + b
1 - 3/2 = b
2/2 - 3/2 = b
-1/2 = b
Step 2: Rewrite the formula using the slope and the b value we just calculated
y = (3/2)x - 1/2
Step 3: Standard form of a line is ax + by = c, where a is a positive integer, so we rearrange the equation from step 2 to standard form.
y = (3/2)x - 1/2
-(3/2)x + y = -1/2 (subtract (3/2)x from both sides)
-3x + 2y = -1 (multiply by 2 to get rid of the fraction on x)
3x - 2y = 1 (multiply by -1 so a becomes positive)
Direct variation equation is y = kx ; k is the constant of variation.
y = -9
x = -45
-9 = k(-45)
-9/-45 = k
1/5 = k
y = 1/5x CHOICE A.
Answer:
a: 1.26
b: 8190
Step-by-step explanation:
The account had a 26% increase. Therefore, you would multiply the original amount by 1.26.
1.26 x 6500 = 8190