Graph x+y>=1 x+2y>1

$x + y \geq 1$ $x + 2 y > 1$

Graph $x + y \geq 1$ .

Write in $y = m x + b$ form.

Subtract $x$ from both sides of the inequality.

$y \geq 1 - x$

Rearrange terms.

$y \geq - x + 1$

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = - 1$

$b = 1$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $- 1$

y-intercept: $(0, 1)$

Slope: $- 1$

y-intercept: $(0, 1)$

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $- x + 1$ .

$y \geq - x + 1$

Graph $x + 2 y > 1$ .

Write in $y = m x + b$ form.

Solve for $y$ .

Subtract $x$ from both sides of the inequality.

$2 y > 1 - x$

Divide each term in $2 y > 1 - x$ by $2$ and simplify.

Divide each term in $2 y > 1 - x$ by $2$ .

$\frac{2 y}{2} > \frac{1}{2} + \frac{- x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} > \frac{1}{2} + \frac{- x}{2}$

Divide $y$ by $1$ .

$y > \frac{1}{2} + \frac{- x}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$y > \frac{1}{2} - \frac{x}{2}$

Rearrange terms.

$y > - \frac{x}{2} + \frac{1}{2}$

Reorder terms.

$y > - (\frac{1}{2} x) + \frac{1}{2}$

Remove parentheses.

$y > - \frac{1}{2} x + \frac{1}{2}$

Use the slope-intercept form to find the slope and y-intercept.

Find the values of $m$ and $b$ using the form $y = m x + b$ .

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

$b = \frac{1}{2}$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $- \frac{1}{2}$

y-intercept: $(0, \frac{1}{2})$

Slope: $- \frac{1}{2}$

y-intercept: $(0, \frac{1}{2})$

Graph a dashed line, then shade the area above the boundary line since $y$ is greater than $- \frac{1}{2} x + \frac{1}{2}$ .

$y > - \frac{1}{2} x + \frac{1}{2}$

Plot each graph on the same coordinate system.

$x + y \geq 1$

$x + 2 y > 1$

Graph x+y>=1 x+2y>1

Related Questions

Support LCMGCF.com by disabling your adblocker.