Solve the system by substitution!
1 answer:
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Answer:
Step-by-step explanation:
y = 3x - 5
m₁ = 3
The required line is perpendicular to y = 3x - 5. Let the required line's slope be m₂
m₂ = -1/m₁
m₂ = -1/3
Point (9,6)
Equation of line: y - y₁ = m(x - x₁)
y - 6 = (-1/3)(x - 9)
Answer:
Step-by-step explanation:
The vertex form of an equation of a parabola:
<em>(h, k)</em><em> - vertex</em>
<em>a</em><em> - leading coefficient in equation </em><em>y = ax² + bx + c</em>
<em />
From the grap we can read coordinates of the vertex (2, -1) and y-intercept (0, 1).
Therefore <em>h = 2, k = -1</em>
Put the values of <em>h, k</em> and coordinates of the y-intercept to the equation of parabola:
<em>add 1 to both sides</em>
<em>divide both sides by 4</em>
Therefore we have the equation:
Convert to the standard form:
<em>use (a - b)² = a² - 2ab + b²</em>
<em>use the distributive property</em>
<em>combine like terms</em>