Does anyone know the answer to this question?

Mathematics

1 answer:

Ymorist [56]3 years ago

3 0

Answer:

14x-28

Step-by-step explanation:

2(4x - 5) + 2(3x+9)

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What is the x-Intercept of the line?

Burka [1]

Answer:

<h2>x-intercept: x = 12 → (12, 0)</h2>

Step-by-step explanation:

We must find the equation of a line.

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points from the table (22, 36) and (27, 54). Substitute:

$m=\dfrac{54-36}{27-22}=\dfrac{18}{5}\\\\y-36=\dfrac{18}{5}(x-22)$

The x-intercept is for y = 0. Susbtitute:

$0-36=\dfrac{18}{5}(x-22)$ <em> multiply both sides by 5</em>

$-180=18(x-22)$ <em>divide both sides by 18</em>

$-10=x-22$ <em>add 22 to both sides</em>

$12=x$

4 0

3 years ago

Which equation represents a line that passes through (–2, 4) and has a slope of ? y – 4 = 2/5(x + 2) y + 4 = 2/5(x – 2) y + 2 =

valentinak56 [21]

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ -2}}\quad ,&{{ 4}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{2}{5}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-4=\cfrac{2}{5}[x-(-2)]
\\\\\\
y-4=\cfrac{2}{5}(x+2)$