91Ó°ÊÓ

The line passing through \((-1, y)\) and \((1,0)\) is perpendicular to the line joining \((2,3)\) and \((-2,1) .\) Find \(y\)

Write each sentence as a linear inequality in two variables. Then graph the inequality. The \(y\) -variable is no more than \(-1\)

I use \(y=m x+b\) to write equations of lines passing through two points when neither contains the \(y\) -intercept.

a.) Put the equation in slope-intercept form by solving for \(y .\) b.) Identify the slope and the \(y\) -intercept. c.) Use the slope and y-intercept to graph the equation. $$2 x+y=3$$

Write each sentence as a linear inequality in two variables. Then graph the inequality. The \(y\) -variable is no more than \(-2\)

The line passing through \((-2, y)\) and \((-4,4)\) is perpendicular to the line passing through \((-1,-2)\) and \((4,-1)\) Find \(y\)

a.) Put the equation in slope-intercept form by solving for \(y .\) b.) Identify the slope and the \(y\) -intercept. c.) Use the slope and y-intercept to graph the equation. $$3 x+y=4$$

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. In many examples, I use the slope-intercept form of a line's equation to obtain an equivalent equation in point-slope form.

determine whether each ordered pair is a solution of the given equation. $$2 x-5 y=0 \quad(-2,0),(-10,6),(5,0)$$

a.) Put the equation in slope-intercept form by solving for \(y .\) b.) Identify the slope and the \(y\) -intercept. c.) Use the slope and y-intercept to graph the equation. $$7 x+2 y=14$$