How do you write an equation of a line passing through (2, 4), perpendicular to 10x - 5y = 8?
2 Answers
Explanation:
First, convert
The perpendicular line to
The new line will be
We know that it passes through
So, the new equation of the line will be
Explanation:
"given a line with slope m then the slope of a line "
"perpendicular to it is"
•color(white)(x)m_(color(red)"perpendicular")=-1/m
"the equation of a line in "color(blue)"slope-intercept form" is.
•color(white)(x)y=mx+b
"where m is the slope and b the y-intercept"
"rearrange "10x-5y=8" into this form"
rArr-5y=-10x+8rArry=2x-8/5rArrm=2
rArrm_(color(red)"perpendicular")=-1/2
rArry=-1/2x+blarrcolor(blue)"is the partial equation"
"to find b substitute "(2,4)" into the partial equation"
4=-1+brArrb=4+1=5
rArry=-1/2x+5larrcolor(red)"perpendicular equation"