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graph a line that contains the point (3,-6) and has slope of -1/2​

Graph A Line That Contains The Point 36 And Has Slope Of 12 class=

Sagot :

Answer:

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here, m = slope of the line

b = y intercept

Since, m = -[tex]\frac{1}{2}[/tex]

Equation of the line will be,

y = [tex]-\frac{1}{2}x+b[/tex]

Since, a point (3, -6) lies on the line,

-6 = [tex]-\frac{3}{2}+b[/tex]

b = -6 + 1.5

b = -4.5

Equation of the line will be,

[tex]y=-\frac{x}{2}-\frac{9}{2}[/tex]

Table for the points on the graph,

x      -4         -3         -2        -1          0        

y      -2.5      -3       -3.5      -4       -4.5    

Plot these points and join them to get the graph of a line.

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