Point a (4, 7) and point b (-6, 1) are endpoints of ab. point c is the midpoint of ab. what is the equation of a line perpendicular to ab that passes through point c? 1 ). 3x-5y=17 2). 3x+5y=17 3). 5x-3y=7 4). 5x+3y=7

let's first off find the slope of AB

now let's find the midpoint of AB

now, a line perpendicular to AB will

so, we're really looking for a line whose slope is -5/3 and runs through (-1, 4)

now let's convert that to standard form, keeping in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

the 3rd option is right

step-by-step explanation: