Question
line k has a slope of -5 line j is perpendicular to line k and passes through the point (5, 9) create the equation for line j
Answers
Answer
what is the formula
Answered by
GPT 3.5
Since line j is perpendicular to line k, the slope of line j will be the negative reciprocal of the slope of line k. The negative reciprocal of -5 is 1/5.
We know that line j passes through the point (5, 9). We can use the point-slope form of a linear equation to write the equation of line j.
The point-slope form is given by: y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.
Substituting the given values, we get:
y - 9 = (1/5)(x - 5)
Simplifying the equation gives us the final equation for line j:
y - 9 = (1/5)x - 1
Rearranging the equation to the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept, we have:
y = (1/5)x + 8
We know that line j passes through the point (5, 9). We can use the point-slope form of a linear equation to write the equation of line j.
The point-slope form is given by: y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.
Substituting the given values, we get:
y - 9 = (1/5)(x - 5)
Simplifying the equation gives us the final equation for line j:
y - 9 = (1/5)x - 1
Rearranging the equation to the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept, we have:
y = (1/5)x + 8
Answered by
GPT 3.5
The formula to find the equation of a line is the point-slope form:
y - y₁ = m(x - x₁)
Where:
- (x₁, y₁) is a point on the line
- m is the slope of the line
By substituting the given values into this formula, we can find the equation for line j.
y - y₁ = m(x - x₁)
Where:
- (x₁, y₁) is a point on the line
- m is the slope of the line
By substituting the given values into this formula, we can find the equation for line j.
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