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Answer: y-intercept: (0, 12)
Step-by-step explanation:
= 9 − 3 (n − 1)
Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Find the values of m and b using the form y = mx + b.
m = −3
b = 12
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: −3
intercept: (0, 12)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Find the x-intercept.
To find the x-intercept(s), substitute in 0 for y and solve for x.
0 = −3x + 12
Solve the equation.
Rewrite the equation as −3x + 12 = 0.
−3x + 12 = 0
Subtract 12 from both sides of the equation.
−3x = −12
Divide each term by −3 and simplify.
x = 4
x-intercept(s) in point form.
x-intercept(s): (4, 0)
Find the y-intercept.
To find the y-intercept(s), substitute in 0 for x and solve for y.
y = −3 ⋅ 0 + 12
Solve the equation.
Remove parentheses.
y = −3 ⋅ 0 + 12
Simplify −3 ⋅ 0 + 12.
y = 12
intercept(s) in point form.
intercept(s): (0, 12)
Create a table of the x and y values.
<u> x | y </u>
0 | 12
4 | 0
Graph the line using the slope and the y-intercept, or the points.
Slope: −3
intercept: (0, 12)
<u>Answer:</u>
According to Question , a plane travels 120 miles in 2 hours. So here we will use unitary method .
Here it was a case of direct proportion in which if two things are directly proportional to each other. If one thing thing increases then the value of second also increases. Here if the time increases then the distance also increases