How do you graph $\frac{x}{2} - y = 7$ $x/2 - y = 7$ ?

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How do you graph $\frac{x}{2} - y = 7$ $x/2 - y = 7$ ?

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Answer 1 · 2017-11-05T01:22:11

Refer to the explanation.

Explanation:

Solve for $y$ $y$ to change the equation to slope-intercept form:

$y = m x + b$ $y=mx+b$ ,

where:

$m$ $m$ is the slope and $b$ $b$ is the y-intercept, which is the value for $y$ $y$ when $x = 0$ $x=0$ .

Given:

$\frac{x}{2} - y = 7$ $x/2-y=7$

Subtract $\frac{x}{2}$ $x/2$ from both sides.

$- y = - \frac{x}{2} + 7$ $-y=-x/2+7$

Multiply both sides by $- 1$ $-1$ . This will reverse the signs.

$y = \frac{x}{2} - 7$ $y=x/2-7$

$y = \frac{1}{2} x - 7$ $y=1/2x-7$

$m = \frac{1}{2}$ $m=1/2$

$b = - 7$ $b=-7$

Determine two points, such as the y-intercept and x-intercept (value of $x$ $x$ when $y = 0$ $y=0$ ).

Y-intercept: $(0, - 7)$ $(0,-7)$

X-intercept: $(14, 0)$ $(14,0)$ See below for the calculations.

$0 = \frac{1}{2} x - 7$ $0=1/2x-7$

Add $7$ $7$ to both sides.

$7 = \frac{1}{2} x$ $7=1/2x$

Divide both sides by $\frac{1}{2}$ $1/2$ . When dividing by a fraction, invert the fraction and multiply.

$\frac{7}{\frac{1}{2}} = x$ $7/(1/2)=x$

$7 \times \frac{2}{1} = x$ $7xx2/1=x$

$14 = x$ $14=x$

Plot the x- and y-intercepts. Draw a straight line through the points.

graph{y=1/2x-7 [-9.34, 10.66, -8.84, 1.16]}

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How do you graph $\frac{x}{2} - y = 7$ $x/2 - y = 7$ ?

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Explanation:

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