Answer:
y = 2x + 9
Explanation:
Y = mx + b indicates slope-intercept equation.
"b" represents y -intercept/beginning.
"mx" represent slope/constant of variation/rate of change
x-intercept represents the end of the graph. (in stories using money its the ending amount).
The y-intercept is always when the x-value is 0. The point of the y-intercept is on the y-axis. The line on the graph starts at the point (0,9). It can be located on the point right above the number labeled under the 9 which is 8. Since the x-value is 0,
The y-intercept is 9.
To find the slope, we have to find two points on the graph to use.
Two points on the graph are:
(1.5, 13) , (2, 14)
Using the slope formula:
y2-y1/x2-x1
Plug in:
14-13/2-1.5
Complete:
1/0.5
divide:
The numbers in 1 divided by 1/2 are labeled below:
1 = whole number
1 = numerator
2 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
1 x 2/1 = 2/1
Thus, the answer to 1 divided by 1/2 in fraction form is:
2/1
To make the answer to 1 divided by 1/2 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
2 / 1 = 2
The answer is rounded to the nearest two decimal points if necessary.
2/1 is an improper fraction and should be written as 2.
So now that we have the y-intercept and slope:
Y-intercept: 9
Slope: 2
Equation: y = 2x + 9
Terms: Linear Equations 8th Grade