What is y=8x+2 in standard form

Mathematics

1 answer:

Illusion [34]3 years ago

6 0

Answer:

$x = \frac{ - 1}{4} + \frac{1}{8} y$

Step-by-step explanation:

$- 8x =2 - y$

$x = \frac{ - 2}{8} + \frac{1}{8} y$

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I need help plzzzzzz

My name is Ann [436]

(1) The train travels 4 miles per gallon.

(2) The slope of the graph is $m=\frac{1}{4}$

Explanation:

(1) The miles that train travels per gallon is given by

$Miles= \frac{800}{200}$

Dividing, we have,

$Miles= 4$

Thus, the train travels 4 miles per gallon.

(2) To determine the slope, let us consider two points from the graph.

The coordinates are $(0,0)$ and $(800,200)$

Thus, substituting the coordinates in the slope formula, we get,

$m=\frac{200-0}{800-0}$

Simplifying, we have,

$m=\frac{200}{800} =\frac{1}{4}$

Thus, the slope of the graph is $m=\frac{1}{4}$

3 0

3 years ago

Use the given information to write an equation of a line that contains a slope of 4 and passes through (-2, -6). Write your answ

Svetach [21]

$(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-6})\qquad \qquad \stackrel{slope}{m}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{4}(x-\stackrel{x_1}{(-2)})\implies y+6=4(x+2)$

$y+6=4x+8\implies y=4x+2\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$