Passes through the point (1,6) and is perpendicular to 8x-3y=7

Question

Write the equation  of tge line in slope-intercept form that satisfies the given condition 

 

Answer 1

8x - 3y = 7

-3y = -8x + 7

y = ⁸/₃ x - ⁷/₃

 

A perpendicular line means that the slope of our new line is going to be the negative reciprocal of our original slope, so that means it's going to be -³/₈

Now we use the point-slope formula:

y - y₁ = m(x - x₁)

 

Input the values:

y - 6 = -³/₈(x - 1)

y - 6 = -³/₈ x + ³/₈

y = -³/₈ x + 6 ³/₈ 

or:

y = -³/₈ x + ⁵¹/₈