You take the reciprocal of the original slope and negate it
The equation of the graph, in slope-intercept form, is: C. y = 2/3x + 6.
<h3>How to Write a Linear Equation in Slope-Intercept Form?</h3>
The linear equation of a graph in slope-intercept form is expressed as y = mx + b. Where the variable in the equation are as follows:
- b = y-intercept (this is the point on the y-axis where the line intercepts).
- m = slope (this is the rise/run along the line = change in y / change in x).
Considering the graph given, to write the linear equation it represents, find the slope (m) and the y-intercept (b) of the line.
Slope (m) = rise/run = 2 units/3 units
Slope (m) = 2/3.
The line intercepts the y-axis at y = 6, thus, the y-intercept (b) would be 6. b = 6.
Substitute m = 2/3 and b = 6 into the slope-intercept form equation, y = mx + b:
y = 2/3x + 6
Thus, the equation, in slope-intercept form, that represents the linear graph as shown in the image given is: C. y = 2/3x + 6.
Learn more about the slope-intercept equation on:
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Answer:
13a² - 39a + 46
Step-by-step explanation:
To find g(a-2)+3g(2a), find each part using the function g(x)=x²-5x+8.
g(a-2) = (a-2)²-5(a-2)+8 = a² - 4a + 4-5a + 10+8 = a² - 9a + 22
3g(2a) = 3{(2a)²-5(2a)+8} = 3{ 4a² - 10a + 8} = 12a² - 30a + 24
Combine the values to find g(a-2)+3g(2a).
g(a-2)+3g(2a) = (a² - 9a + 22) + (12a² - 30a + 24) = 13a² - 39a + 46
9514 1404 393
Answer:
4 pounds
Step-by-step explanation:
Let b represent the pounds of bananas Mrs. Davis bought. The weight of strawberries would be (7-b) and their cost would be 4×0.50 = 2.00 per pound. Her total purchase was ...
0.50b + 2.00(7 -b) = 8.00
-1.50b +14 = 8 . . . . simplify
6 = 1.50b . . . . . . add 1.50b -8
4 = b . . . . . . . . divide by 1.50
Mrs. Davis bought 4 pounds of bananas.
A) 3x (you substitute the g equation into the f one by putting it in the x value for f)
b) x (do the same thing, but switch the letters)
