Answer:
<h2>f(x) = -3x - 1</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:

<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept, (0, b)</em>
The formula of a slope:

From the graph we have two points <em>A(-1, 2)</em> and <em>B(0, -1) → b = -1</em>.
Calculate the slope:

Finally:

Equation:
y + 2 = 1/3(x+1)
Assuming you are solving for Y:
y + 2 = 1/3(x) + 1/3(1)
(y + 2) - 2 = (1/3x + 1/3) - 2
y = 1/3x + 1/3 - 2
<u>y = 1/3x - 5/3</u>
Answer:
f(1) = 3
Step-by-step explanation:
f(t) = t² - 1t + 3
we want to find f(1)
all we have to do is replace the t's with 1 and evaluate
f(1) = (1)² - 1(1) + 3
evaluate exponent 1² = 1
f(1) = 1 - 1(1) + 3
multiply
f(1) = 1 - 1 + 3
subtract
f(1) = 3
Answer:
x = -1, y = 1
Step-by-step explanation:
x + 2y = 1
Subtract 2y from both sides
x + 2y - 2y = 1 - 2y (simplify) -> x= 1 - 2y
----
-x + y = 2
Subtract y from both sides
-x + y - y + 2 - y (simplify) -> -x = 2 - y
Divide both sides by -1
=
-
(simplify) -> x = -2 + y