91Ó°ÊÓ

Complete the given ordered-pair solutions for each equation. Then graph each equation by plotting the points and drawing a line through them. \( \begin{array}{l} y=\frac{2}{3} x+1 \\ \end{array} \) \((0, _____),(3, ____),(-3,_____)\)

Write an equation of the line passing through the given point and having the given slope. Give the final answer in slope-intercept form. \((3,-2), m=-1\)

A student was asked to find the slope of the line through the points (-2,4) and \((6,-1) .\) Her answer, \(-\frac{8}{5},\) was incorrect. She showed her work as $$ \frac{6-(-2)}{-1-4}=\frac{8}{-5}=-\frac{8}{5} $$ WHAT WENT WRONG? Give the correct slope.

Complete the given ordered-pair solutions for each equation. Then graph each equation by plotting the points and drawing a line through them. \( \begin{array}{l} y=-\frac{3}{4} x+2 \\ \end{array} \) \((0, _____),(4, _____),(-4,______)\)

Write an equation of the line passing through the given point and having the given slope. Give the final answer in slope-intercept form. \((-5,4), m=-1\)

Write an equation of the line passing through the given point and having the given slope. Give the final answer in slope-intercept form. \((-2,5), m=\frac{2}{3}\)

$$ y=-\frac{1}{3} x+4 $$

Write an equation of the line passing through the given point and having the given slope. Give the final answer in slope-intercept form. \((4,2), m=-\frac{1}{3}\)

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

Find the \(x\) - and \(y\) -intercepts for the graph of each equation. $$ x-y=8 $$