|-12| is greater than 1
The absolute value brackets make the -12 positive, 12>1.
True
1/4 (a) = (2/3)
a = (2/3) * (4)
a=8/3
a= 2 2/3
3y = 2x + 6
x + y = 7
y = 7 - x
3(7 - x) = 2x + 6
21 - 3x = 2x + 6
21 - 6 = 2x + 3x
15 = 5x
15/5 = x
3 = x
x + y = 7
3 + y = 7
y = 7 - 3
y = 4
Solution is (3,4)
Every straight line graph has an equation in the same form:
y = (slope of the line) x + (y-intercept) .
-- The slope of the line is
(how far it goes UP, going left to right between any 2 points)
divided by
(how far it goes left to right between the same 2 points) .
The line on this graph has a slope of + 1/2 .
-- The y-intercept is the point where the line crosses the y-axis.
The line on this graph crosses the y-axis at -1 .
y = (slope of the line) x + (y-intercept) .
y = ( 0.5 ) x ( - 1 ) .
9514 1404 393
Answer:
f(x) = 0.15x +25
Step-by-step explanation:
We are given two points:
(x, y) = (180, 52) or (350, 77.50)
The slope is given by ...
m = (y2 -y1)/(x2 -x1)
m = (77.50 -52)/(350 -180) = 25.50/170 = 0.15
The y-intercept is given by ...
b = y -mx
b = 52 -0.15×180 = 25
Then the equation for the linear function is ...
f(x) = mx +b
f(x) = 0.15x +25
