Answer:
y = 6x - 5
Step-by-step explanation:
Point Slope Form
y - y1 = m (x - x1)
If the slope is 6 and the point is (2,7)
y - 7 = 6 (x - 2)
y - 7 = 6x - 12
y = 6x - 5
The equation of the line that passes through the point (2,7) and has a slope of 6 is [tex]y =6x-5[/tex]
Seems there are repetitions with the numbers. The correct question should be:
What is the equation of the line that passes through the point (2,7) and has a slope of 6?
From the question a point on the line is given which is (2,7) and the slope of the line is 6.
To determine the equation of the line for this type of question, the point-slope form of the equation of a straight line is convenient.
The point-slope form of the equation of a straight line is
[tex](y-y_{1})=m(x-x_{1})[/tex]
Where m is the slope or gradient and [tex](x_{1},y_{1} )[/tex] is a point on the line
From the question, m = 6, [tex]x_{1} = 2[/tex] and [tex]y_{1} = 7[/tex]
Putting these into the equation, we get
[tex](y-7)=6(x-2)[/tex]
[tex]y-7=6x-12\\[/tex]
[tex]y =6x-12+7[/tex]]
[tex]y =6x-5[/tex]
Hence, the equation of the line that passes through the point (2,7) and has a slope of 6 is [tex]y =6x-5[/tex]
Learn more on equation of a line here: https://brainly.com/question/24186081
