Find the variable 6x-8=34

Mathematics

1 answer:

GenaCL600 [577]2 years ago

4 0

x is the variable

In mathematics, a variable is a symbol; in this case, X.

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line passes through the point (-3,-4) and its y-intercept is (o, -9). What is the equation of the line that is parallel to the f

12345 [234]

Answer:

$y=-\frac{5}{3}x-2$

Step-by-step explanation:

The first line has a slope of -5/3 found using the points in the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1} =\frac{-9--4}{0--3}=\frac{-9+4}{0+3}=\frac{-5}{3}$

Parallel lines have the same slope. So -5/3 is the slope of the second line. Write its equation using the point slope form $y-y_1=m(x-x_1)$ .

$y--7=-\frac{5}{3}(x-3)\\y+7 = -\frac{5}{3}(x-3)\\y=-\frac{5}{3}x + 5 -7\\y=-\frac{5}{3}x-2$

7 0

3 years ago

Which system of linear inequalities is represented by the graph?

masha68 [24]

For the red line, we have:

gradient ( $m$ ) = 1/3
y-intercept = 3

Equation of straight line is given by $y=mx+c$ , where $m$ is the gradient and $c$ is where the line intercept the y-axis

So we have, $y= \frac{1}{3}x+3$

The shaded part is above the line, hence the first inequality is
$y \geq \frac{1}{3}x+3$

The black line, we have
gradient, $(m)$ = 3
y-intercept = -2

$y=mx+c$
$y=3x-2$ , rearranging gives
$3x-y=2$

The shaded region is to the right of the line, hence the inequality is
$3x-y\ \textgreater \ 2$

Note: The first option should be the correct answer but the inequality sign for y > 1/3x + 3 should be $\geq$

6 0

3 years ago

Read 2 more answers

Find the equation of a line given the point and slope below.

Levart [38]

Step-by-step explanation:

$\frac{y - 6}{x - 3} = - 3$