esterazacon
Answered

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a) Complete the table of values for y = 2x + 3
-1 0
1
2
3
1
7
X
y
-2
b) Draw the graph of y = 2x + 3
on the grid.
У.
40
8
6
4
No
2
-2
fet

A Complete The Table Of Values For Y 2x 3 1 0 1 2 3 1 7 X Y 2 B Draw The Graph Of Y 2x 3 On The Grid У 40 8 6 4 No 2 2 Fet class=

Sagot :

Answers with step by step

a) complete the table, left to right

(-2, -1) (-1, 1) (0, 3) (1, 5) (2, 7) (3, 9)

the first thing I did was fill in my y intercept from my equation which is 3, in the box below x = 0.
Second I see my slope or rate is 2, (the coefficient next to the x) so my y or output value is + 2 for every x input.

b) Last step is to graph, attached.
View image driftecook
semsee45

Answer:

[tex]\large\begin{array}{|c|c|c|c|c|c|c|}\cline{1-7}x&-2&-1&0&1&2&3\\\cline{1-7}y&-1&1&3&5&7&9\\\cline{1-7}\end{array}[/tex]

See attachment for the graph of the equation.

Step-by-step explanation:

Given equation:

[tex]y=2x+3[/tex]

To complete the table of values for the given equation, substitute the values of x into the equation and solve for y:

[tex]\begin{aligned}x=-2 \implies y&=2(-2)+3\\&=-4+3\\&=-1\end{aligned}[/tex]

[tex]\begin{aligned}x=0 \implies y&=2(0)+3\\&=0+3\\&=3\end{aligned}[/tex]

[tex]\begin{aligned}x=1 \implies y&=2(1)+3\\&=2+3\\&=5\end{aligned}[/tex]

[tex]\begin{aligned}x=3 \implies y&=2(3)+3\\&=6+3\\&=9\end{aligned}[/tex]

Therefore, the completed table is:

[tex]\large\begin{array}{|c|c|c|c|c|c|c|}\cline{1-7}x&-2&-1&0&1&2&3\\\cline{1-7}y&-1&1&3&5&7&9\\\cline{1-7}\end{array}[/tex]

To draw the graph of the given equation, plot at least two ordered pairs from the table onto the given grid, then draw a straight line through them.  (See attachment).

View image semsee45
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