Write the equation of the line in standard form using the given points (-7,-1),T(-7,8).
Can I get the answer with solution.
slope = (8+1)/(-7 + 7) = 9/0
ahhh, we have a vertical line, so the normal method of finding the equation will fail
Any vertical line has the form x = (a constant)
in this case since the x for all points on this line will be -7
how about we just say
x = -7
To find the equation of a line using two points, we can use the point-slope form or the standard form.
Let's first use the point-slope form. The point-slope form is given by:
y - y1 = m(x - x1)
where (x1, y1) is one of the points on the line, and m is the slope of the line.
To find the slope (m), we can use the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (-7, -1) and (-7, 8), we can substitute the values into the formula:
m = (8 - (-1)) / (-7 - (-7))
m = (8 + 1) / (-7 + 7)
m = 9 / 0
The denominator is zero, which means that the slope is undefined.
When the slope is undefined, it implies that the line is vertical, and its equation cannot be written in slope-intercept form. However, we can still express the equation in standard form.
The standard form of a linear equation is given by:
Ax + By = C
To find the values of A, B, and C, we need to rearrange the point-slope form:
y - y1 = m(x - x1)
We substitute either of the given points. Let's use (-7, -1):
y - (-1) = undefined(x - (-7))
y + 1 = undefined(x + 7)
Since the slope is undefined, any value of x will result in an undefined expression. Hence, we can say that x = -7.
Substituting this value into the equation, we get:
y + 1 = undefined(-7 + 7)
y + 1 = undefined(0)
y + 1 = 0
Now we can bring the variables to the left side of the equation to write it in standard form:
y + 1 = 0
y = -1
The equation of the line in standard form using the given points (-7, -1) and T(-7, 8) is:
x = -7