A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find an equation of the line that passes through the point (2, 4) and is perpendicular to the line 8x + 7y - 4 = 0.
Solution:
Given, the equation of the line is 8x + 7y - 4 = 0 --- (1)
The equation of the line in slope-intercept form is y = mx + c --- (2)
Converting (1) in slope-intercept form,
⇒ 7y = -8x + 4
⇒ y = -(8/7)x + (4/7)
Slope of the line is -8/7.
Slope of the perpendicular line = +7/8
Next, find the value of c by using the point (2,4)
⇒ 4 = (7/8)(2) + c
⇒ 4 = 7/4 + c
0n solving,
⇒ 16 = 7 + 4c
⇒ 4c = 16 - 7
⇒ 4c = 9
⇒ c = 9/4
Put the value of c and slope of perpendicular in (2) we get,
⇒ y = (7/8)x + 9/4
Therefore, the equation of the line is y = (7/8)x + 9/4.
Find an equation of the line that passes through the point (2, 4) and is perpendicular to the line 8x + 7y - 4 = 0.
Summary:
The equation of the line that passes through the point (2, 4) and is perpendicular to the line 8x + 7y - 4 = 0 is y = (7/8)x + 9/4.
Math worksheets and
visual curriculum
visual curriculum