A) Complete the table of values for y
b) Draw the graph of y = 2x + 3
on the grid.

Step-by-step explanation:

You should share the table that was given; your first job is to complete the table.  Setting up a table from scratch:

 x     y = 2x + 3      point (x, y)

 0     2(0) + 3 = 3    (0, 3)

 1       2(1) + 3 = 5     (1, 5)   and so on.

The y-intercept is (0, 3) (which is shown above), and the slope of the line is 2.  

Plot (0, 3).  Because the slope of the line is 2, we move 1 space to the right from (0, 3), to (1, 3) and then 2 spaces UP from (1, 3) to (1, 5).

Draw a straight line through (0, 3) and (1, 5).

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

i dont understand

step-by-step explanation: