Answer:
y = 3x + 5
Step-by-step explanation:
The equation in slope- intercept form is
y = mx + c
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (2, 11) ← 2 ordered pairs from the table
m = = = 3, thus
y = 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (2, 11 ), then
11 = 6 + c ⇒ c = 11 - 6 = 5
y = 3x + 5 ← equation of linear function
pattern 1 - 7, 77, 11,8, 88,11
Step-by-step explanation:
7×11=77
8×11= 88
Answer:
m = 6 , n = 6
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values
cos30° = , sin30° = , then
cos30° = = = ( cross- multiply )
2m = 12 ( divide both sides by 2 )
m = 6
and
sin30° = = = ( cross- multiply )
2n = 12 ( divide both sides by 2 )
n = 6
ANSWER
EXPLANATION
The line that passes through the origin has equation of the form:
y=mx
Where m is the slope.
Since the line is parallel to the line through A(-3, 0) and B(-6, 5), they have the same slope.
The slope is given by:
Hence the required equation is:
Multiply through by 3,
In standard form, the equation is