Question

4.

Write the equation of the line, in slope-intercept form, that goes through the point ( 10, 6 ) and is perpendicular to the line: y = ( - 5 / 4 ) x + 1.

Answer 1

Answer:
`\boxed{y=(4)/(5)x-2}`

Explanation:

Perpendicular lines have slopes that are negative reciprocals, so as the slope of the given line is -5/4, the slope of the perpendicular line is 4/5.

Substituting into point-slope form,

`y-6=(4)/(5)(x-10)\\\\y-6=(4)/(5)x-8\\\\\boxed{y=(4)/(5)x-2}`