Find the slope and the y-intercept of the equation y − 3(x − 1) = 0.



slope = -3 and y-intercept = -3



slope = 3 and y-intercept = 3



slope = -3 and y-intercept = 3



slope = 3 and y-intercept = -3

Respuesta :

y-(3x-1)=0
y-3x+1=0
y=3x-1
The equation is in the form y=mx+q where m is the slope and q is the y-intercept.
Then the slope of that line is 3 and y-intercept is -1

The slope and the y-intercept of the equation y − 3(x − 1) = 0 are: slope = 3 and y-intercept = -3. The correct option is the fourth option (slope = 3 and y-intercept = -3)

To determine the slope and y-intercept of the equation, we will rewrite the equation in the form of the slope-intercept form of the equation of a straight line.

The slope-intercept form equation of a straight line is

y = mx + c

Where m is the gradient

and c is the y-intercept

From the question, the given equation is  y − 3(x − 1) = 0

This can be rewritten in form of the equation of a straight line as

y -3x +3 = 0

Then,

y = 3x - 3

Now, compare this to y = mx + c  (the slope-intercept form of the equation of a straight line)

Then,

m = 3 and c = -3

That is,

slope = 3 and y-intercept = -3

Hence, the slope and the y-intercept of the equation y − 3(x − 1) = 0 are: slope = 3 and y-intercept = -3. The correct option is the fourth option (slope = 3 and y-intercept = -3)

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