<u>Graph 1</u>
coordinates : (0,-5) (-6,-2)
m = (y2-y1)/(x2-x1)
m = (-2-(-5))/(-6-0)
m = 3/-6 = -1/2
Substitute the values,
y = mx + c
-2 = (-1/2)(-6) + c
-2 = 3 + c
c = -5
Thus, equation is y = -1/2x -5
<u>Graph </u><u>2</u>
coordinates : ( 4,-2) (-5,3)
m = (y2-y1)/(x2-x1)
m = (3-(-2))/(-5-4)
m = 5/-9
Substitute the values,
y = mx + c
-2 = (-5/9)(4) + c
-2 = -20/9 + c
c = 2/9
Thus, the equation is y = -5/9 + (2/9)
Hope it helps :)
Answer:
The steps below show how I transformed the equation in the question into standard form, where the slope and y-intercept is clearest. The slope is -1/2 and the y-intercept is 32.
25% of whom were first year teachers out of 72 teachers in attendance in a school staff meeting equals 18 first-year teachers in the meeting. Therefore, there are 18 first-year teachers in the school staff meeting.
Answer:
The answer is 1/3.
Step-by-step explanation:
A coin has either heads or tails. The odds of a coin getting heads is 1/2.
There are three equal-sized sections with numbers 3, 6 and 9 on the spinner. There are two sections with numbers greater than 3, which are 6 and 9. The odds of getting a number greater than 3 is 2/3.
To find the overall probability of both incidents occurring, the two fractions are multiplied together, which is 1/2 * 2/3 = 1/3
Answer:
Translated 5 units right
g(x) = 2x - 4
Step-by-step explanation:
The original equation had a y-int of 6, but g(x) has a y-int of -4. Moving the line 5 units to the right will move the y-int down 10 units due to the positive slope of 2, so the translation is 5 units right.
The line shown still has a slope of 2 and a y-intercept of -4, so using the equation y = mx + b, g(x) = 2x - 4.
