What you want to do here is take this information and plug it into point-slope form. any time you're given a point and a slope, you generally want to plug it into this equation: y - y1 = m(x - x1).
in this equation, m is your slope and (x1, y1) is a given point. plug in your info--slope of -3 and (-5, 2).
y - 2 = -3(x + 5)
that is the equation of your line. however, if you want to graph it, this doesn't really make much sense to you. convert it to slope-intercept form, y = mx + b, by solving for y.
y - 2 = -3(x + 5) ... distribute -3
y - 2 = -3x - 15 ... add 2
y = -3x - 13 is your equation.
to graph this, and any other y = mx + b equation, you want to start with your y-intercept if it's present. your y intercept here is -13, which means the line you wasn't to graph crosses the y-axis at y = -13, or (0, -13). put a point there.
after you've plotted that point, you use your slope to graph more. remember that your slope is "rise over run"--you rise up/go down however many units, you run left/right however many units. if your slope is -3, you want to go down 3 units, then go to the right 1 unit. remember that whole numbers have a 1 beneath them as a fraction. -3/1 is your rise over 1.
The expression of all the algebra as single rational exponent are; As written below.
<h3>How to Express Exponents?</h3>
1) We want to express ⁴√x³. This can be expressed as;
x^(3/4)
2) We want to express the exponent ¹/x⁻¹. This is expressed as a single rational exponent as; x
3) We want to have the given expression as a single rational exponent. The expression is; ¹⁰√(x⁵ · x⁴ · x²)
We add the exponents to get;
¹⁰√(x¹¹) = x^(¹¹/₁₀)
4) x^(¹/₃) * x^(¹/₃) * x^(¹/₃)
We just add the exponents to get;
x¹ = x
Read more about Exponents at; brainly.com/question/11761858
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<span>Linear regression is a method of finding the linear equation that comes closest to fitting a collection of data points.
</span>The better the choice of line, the closer the predicted values will be to the observed values.
The differences between the data pints (observed values) and the estimated (pedicted) regression line is called the <span>residue.
</span>Residue = Observed Value -<span> Predicted Value</span>
Answer:
√255
Step-by-step explanation:
If multiplication, just multiply root by root and number by number.
So, √15 . √17 = √255
<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>
