Question

Graph the following equation on a graph. 2x-y = -3

Answer 1

Step-by-step explanation:

Given the equation

$2x-y = -3$

$y=2x+3$

Putting x = -2 in the equation

y = 2x + 3

  = 2(-2) + 3

  = -4 + 3

  = -1

(x, y) = (-2, -1)

Putting x = -1 in the equation

y = 2x + 3

  = 2(-1) + 3

  = -2 + 3

  = 1

(x, y) = (-1, 1)

Putting x = 0 in the equation

y = 2x + 3

  = 2(0) + 3

  = 0 + 3

  = 3

(x, y) = (0, 3)

So the table chart of x and y values will be:

x                          y

-2                        -1

-1                         1

0                         3

$\mathrm{Slope-Intercept\:form\:of}\:2x-y=-3:\quad y=2x+3$

$\mathrm{Slope\:of\:}2x+3:\quad m=2$

$\mathrm{Y\:Intercepts}:\:\left(0,\:3\right)$

The graph of $y=2x+3$ is attache below.