The y intercept of a graph containing the two points (3,1) and (7,-2) is ![\frac{13}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B4%7D)
<em><u>Solution:</u></em>
Given points are (3, 1) and (7, -2)
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c ------- eqn 1
Where, "m" is the slope of line and "c" is the y intercept
<em><u>Let us first find the slope of line</u></em>
The slope of line is given as:
![m = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Here the points are (3, 1) and (7, -2)
![(x_1, y_1) = (3, 1)\\\\(x_2, y_2) = (7, -2)](https://tex.z-dn.net/?f=%28x_1%2C%20y_1%29%20%3D%20%283%2C%201%29%5C%5C%5C%5C%28x_2%2C%20y_2%29%20%3D%20%287%2C%20-2%29)
Substituting in formula, we get
![m = \frac{-2-1}{7-3}\\\\m = \frac{-3}{4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-2-1%7D%7B7-3%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B-3%7D%7B4%7D)
To find the y intercept:
![\text{Substitute } m = \frac{-3}{4} \text{ and } (x, y) = (3, 1) \text{ in eqn 1 }](https://tex.z-dn.net/?f=%5Ctext%7BSubstitute%20%7D%20m%20%3D%20%5Cfrac%7B-3%7D%7B4%7D%20%5Ctext%7B%20and%20%7D%20%28x%2C%20y%29%20%3D%20%283%2C%201%29%20%5Ctext%7B%20in%20eqn%201%20%7D)
![1 = \frac{-3}{4} \times 3 + c\\\\1 = \frac{-9}{4} + c\\\\ \text{Simplify the above equation } \\\\1 = \frac{-9+4c}{4}\\\\4 = -9 + 4c\\\\13 = 4c\\\\\text{Divide both sides by 4 }\\\\c = \frac{13}{4}](https://tex.z-dn.net/?f=1%20%3D%20%5Cfrac%7B-3%7D%7B4%7D%20%5Ctimes%203%20%2B%20c%5C%5C%5C%5C1%20%3D%20%5Cfrac%7B-9%7D%7B4%7D%20%2B%20c%5C%5C%5C%5C%20%5Ctext%7BSimplify%20the%20above%20equation%20%7D%20%5C%5C%5C%5C1%20%3D%20%5Cfrac%7B-9%2B4c%7D%7B4%7D%5C%5C%5C%5C4%20%3D%20-9%20%2B%204c%5C%5C%5C%5C13%20%3D%204c%5C%5C%5C%5C%5Ctext%7BDivide%20both%20sides%20by%204%20%7D%5C%5C%5C%5Cc%20%3D%20%5Cfrac%7B13%7D%7B4%7D)
Thus y -intercept is ![\frac{13}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B4%7D)
Answer: 1.) √121= 11
Step-by-step explanation:
11•11=121
(x+5) (x+3) if i am correct.. I dunno for sure
Answer:
y = -
x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mc + c ( m is the slope and c the y- intercept )
Here m = -
and crosses the y- axis at (0, 10 ) ⇒ c = 10
y = -
x + 10 ← equation of line
Answer:
Step-by-step explanation:
Answer is C: x-min = 0, x-max= 30, y-min = 0, y-max = 30