Question

Write the equation shown by the
information in the table. Then graph the
equation on the coordinate grid below.
x 2 3 4 5
y 1 4 7 10

Answer 1

Answer:

Part 1) $y=3x-5$

Part 2) The graph in the attached figure

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take the points

(2,1) and (3,4)

substitute

$m=\frac{4-1}{3-2}$

$m=\frac{3}{1}$

$m=3$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=3$

$point\ (2,1)$

substitute

$y-1=3(x-2)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-1=3x-6\\y=3x-6+1\\y=3x-5$

step 4

Plot the given points to graph the line

see the attached figure