Answer:
The value of x1 is:6
The value of y1 is:-1
The point-slope form of the equation is:
y – 1 = 2(x + 6)
y + 1 = 2(x – 6)✔
1 – y = 2(6 + x)
1 + y = 2(6 – x).
From the equation for a line that passes through (6, –1) with a slope of 2.
The value of x1 is 6
The value of y1 is -1
Point - slope form of the equation is
[tex]y+1=2(x-6)[/tex]
Given :
a line that passes through (6, –1) with a slope of 2.
To write point slope form of equation of line we use point - slope formula
[tex]y-y_1=m(x-x_1)[/tex]
where m is the slope
(x1,y1) is the given point
Given point is (6,-1).
The value of x1 is 6
The value of y1 is -1
Given slope m=2. Replace all the values inside the formula
[tex]y-y_1=m(x-x_1)\\y-(-1)=2(x-6)\\\\y+1=2(x-6)[/tex]
Point - slope form of the equation is
[tex]y+1=2(x-6)[/tex]
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