Answer:
y = 9x - 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 38) and (x₂, y₂ ) = (8, 61)
m = 
= 
= 9, thus
y = 9x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 61), then
61 = 72 + c ⇒ c = 61 - 72 = - 11
y = 9x - 11 ← equation of lie
Answer:
See below
Step-by-step explanation:
<u>Point -slope form is:</u>
By having one set of coordinates and knowing the value of the slope (m in the equation) you can use the form.
<u>How to find the slope?</u>
Here you need 2 points: Point 1 with coordinates x1, y1 and point 2 with the coordinates x2, y2
<u>Use the formula:</u>
<u>Example:</u>
- m = -5, and one of the points has coordinates (9, 2) then point-slope form is:
Answer:
This is an geometric sequence with a common ratio <em>r</em> of 1/2
Step-by-step explanation:
When you find out <em>r</em>, you realize the ratio between the numbers to be dividing by 2, or 1/2. Since it is <em>r</em> and not common difference <em>d</em>, it is an geometric sequence.
Substitute 6 - 2x for y in the first equation
3x - (6 - 2x) = 4
5x - 6 = 4
5x = 10
x = 2
Plug 5 for x in either equations (I'll use the second equation)
y = 6 - 2 * 2
y = 6 - 4
y = 2
(2,2) is the solution.
