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Graph y=4x- 9.
9
y
876
++
1 2 3 4 5 6 7 8 9
6+
5
4+
3+
2+
1+
+++
-9-8-7-6-5-4-3-2
-2+
-3+
-4+
-5+
-6+
-7+
-8+

Graph Y4x 99y8761 2 3 4 5 6 7 8 9654321987654322345678 class=

Sagot :

semsee45

Answer:

See attachment.

Step-by-step explanation:

The given linear equation, y = 4x - 9, is in slope-intercept form:

[tex]\boxed{\begin{array}{l}\underline{\textsf{Slope-intercept form of a linear equation}}\\\\y=mx+b\\\\\textsf{where:}\\\phantom{ww}\bullet\;\;\textsf{$m$ is the slope.}\\\phantom{ww}\bullet\;\;\textsf{$b$ is the $y$-intercept.}\\\end{array}}[/tex]

Therefore, in this case:

  • The slope (m) is 4.
  • The y-intercept (b) is -9.

To graph the linear equation y = 4x - 9, begin by plotting the y-intercept at point (0, -9).

If the slope of a line is 4, it means that for every 1 unit increase in the positive x-direction, the y-value increases by 4 units. Therefore, given any point on the line, we can find another point by adding 1 to the x-coordinate and adding 4 to the y-coordinate. So, another point on the line would be:

(0 + 1, -9 + 4) = (1, -5)

Plot the point (1, -5) and draw a straight line that passes through this point and the y-intercept at (0, -9).

View image semsee45
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