Question

algebra thon-leith (lms)
topic 2: readiness assessment (lms graded)
complete the table with ordered pairs that give the coordinates of points that lie on the line shown in the graph.
graph of a line on a coordinate grid
table with columns x (values -1, empty, 2.6) and y (empty, 5.5, empty)

Explanation:

Step1: Find line equation from graph

First, identify two points on the line: the y-intercept is $(0,4)$, and another point is $(2,8)$. Calculate the slope $m=\frac{8-4}{2-0}=2$. The slope-intercept form is $y=mx+b$, so $y=2x+4$.

Step2: Calculate y when x=-1

Substitute $x=-1$ into the equation.
$y=2(-1)+4 = -2+4=2$

Step3: Calculate x when y=5.5

Substitute $y=5.5$ into the equation and solve for $x$.
$5.5=2x+4 \implies 2x=5.5-4=1.5 \implies x=\frac{1.5}{2}=0.75$

Step4: Calculate y when x=2.6

Substitute $x=2.6$ into the equation.
$y=2(2.6)+4=5.2+4=9.2$

Answer:

$x$	$-1$	$0.75$	$2.6$