Write the equation of the line that passes through the point

Write the equation of the line that passes through the point P(3,2) and is perpendicular to the line y=-4x+14

Write the answer in slope-intercept form using decimal numbers, not fractions

solution:

slope of the given line =-4

slope of the line prependicular to this line(required line)= 1/4 (as m1*m2=-1)

now the equation of required line is

(y-2)=1/4*(x-3)

4y-8=x-3

4y=x+5

y=1/4x+5/4