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find an equation of the line with an x intercept of -2 and a slope of 3 I WILL GIVE BRAINLIEST PLEASE HELP
Question
find an equation of the line with an x intercept of -2 and a slope of 3
I WILL GIVE BRAINLIEST PLEASE HELP
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Mathematics
5 years
2021-07-22T16:00:36+00:00
2021-07-22T16:00:36+00:00 1 Answers
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Answers ( )
Answer:
y= 3x -6
Step-by-step explanation:
The equation if a line can be written in the form of y= mx +c, where m is the slope and c is the y- intercept.
Given that the slope is 3, m= 3.
Substitute m= 3 into the equation:
y= 3x +c
To find the value of c, substitute a pair of coordinates into the equation.
Given that it has an x- intercept of -2, the line passes through the point (-2, 0). This is because x- intercept is the point at which the line passes through the x- axis, and this occurs at y= 0.
When x= -2, y= 0,
0= 3(-2) -c
0= -6 -c (expand)
c= -6 (+c on both sides)
Thus, the equation of the line is y= 3x -6.