Graph y−2=−34(x−6) using the point and slope given in the equation. use the line tool and select two points on the line.

Point-slope form: An equation of a straight line in the form ;  

where

m is the slope of the line and are the coordinates of a given point on the line.

Given the equation:         ......[1]

On comparing with Point slope form equation we have;

m = and point (6 , 2)

Now, find the Intercept of the given equation:

x-intercept: The graph crosses the the x-axis i.e,

Substitute y =0 in [1] and solve for x;

Using distributive property:  

Subtract on both sides we get;

Simplify:

or

-26 = -3x

Divide both sides by -3 we get;

x = 8.667

x-intercept: (8.667, 0)

Similarly, for

y-intercept:

Substitute x = 0 in [1] and solve for y;

Add 2 on both sides we get;

Simplify:

y-intercept: (0, 6.5)

Now, using these two points (8.667, 0) and (0, 6.5) you can plot the graph using line tool as shown below.

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step-by-step explanation: