Answer:
y = 3x - 7
Step-by-step explanation:
Slope-intercept form:
y = mx + b
Where:
y is the y value.
m is the slope.
x is the x value.
And b is the y-intercept.
First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:
m = rise/run
m = 3/1
m = 3
With the slope formula, you first need to choose two points.
I chose:
(2, -1) and (3, 2)
Slope formula:
m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}
m = (2 - (-1)) / (3 - 2)
m = 3/1
m = 3
Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:
y-int = -7
To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.
I chose:
(2, -1)
y = 3x + b
-1 = 3(2) + b
-1 = 6 + b
-1 - 6 = b
b = -7
Now you have your final answer:
y = 3x - 7
Answer:
An equation in the slope-intercept form will be:
Step-by-step explanation:
We know The slope-intercept form of the line equation
where
- m is the rate of change or slope
Let x represent the time in months
Let y represent the amount of money remaining in the account.
Given that every month Monica withdraws $15 from this account for her contact lenses
Thus, the rate of change or slope = m = 15
Given that after 3 months she has $255 left in her account.
So, we take the point (3, 255)
substituting m = 15, x = 3 and y = 255 in the slope-intercept form to determine the y-intercept
y = mx+b
255 = 15(3) + b
switch sides
15(3) + b = 255
45 + b = 255
b = 255 - 45
b = 210
Now, substituting m = 15 and b = 210 in the slope-intercept form of the line equation
y = mx+b
y = 15x+210
Therefore, an equation in the slope-intercept form will be:
Answer:
Answer of 4 is 5 and answer of 5 is -1
Answer:
The answer is D
Hope that helps feel free to ask me questions. Do you need a link to a free online graphing calculator?
;)
Step-by-step explanation:
Answer:
78.5 units
Step-by-step explanation:
To find the area of a circle the formula is πr"2"
First we have to find the diameter the find the radius. We already know that the circumference is 31.4 what we have to do now is work backwards. ( 31.4 / 3.14=10) If the diameter of a circle is 10 the radius is 5. now we just have to follow πr"2" to find the area of a circle. (5"2"= 25 x 3.14= 78.5 units)