Which is the graph of the equation y-1=2/3(x-3)?

The graph in the attached figure

Step-by-step explanation:

we have

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

This is the equation of a line into point slope form

where

the point is (3,1) and the slope is m=2/3

using a graphing tool

The graph in the attached figure

The graph of the given equation is the line that passes through (0,-1) and (3/2,0) and whose slope is m = 2/3 and this can be determined by using the slope-intercept form of the line.

Given :

Equation -  

The following steps can be used to draw the graph of the given equation:

Step 1 - Write the given equation.

Step 2 - Simplify the above equation.

Step 3 - Draw the graph of (y = x).

Step 4 - Find the y-intercept and the slope of the above equation.

c = -1

Step 5 - So, the graph of the given equation is the line that passes through (0,-1) and (3/2,0) and whose slope is m = 2/3.

For more information, refer to the link given below:

link

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form