SOLUTION: Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form. Through (-3, 8); perpendicular to -3x + 4y = -23

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form. Through (-3, 8); perpendicular to -3x + 4y = -23      Log On


   

Question 838286: Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form.
Through (-3, 8); perpendicular to -3x + 4y = -23
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Line Through (-3, 8); 

perpendicular to -3x + 4y = -23  Or +y+=+highlight%283%2F4%29x+-+23%2F4 (Green Line)

Slope New Line is highlight_green%28-4%2F3%29

Using point-slope form, y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29

+y+-+8+=+highlight_green%28-4%2F3%29%28x+%2B+3%29

in slope-intercept form:

  y - 8 = (-4/3)x - 4

    y = (-4/3)x + 4  (Blue Line)