Question

write the equation of a line that includes the point (22,12) and has a slope of 4 in standard form.

Answer 1

$The\ slope-point\ form:y-y_1=m(x-x_1)\\The\ standard\ form:Ax+By+C=0\\--------------------\\\\m=4;\ (22;\ 12)\to x_1=22\ and\ y_1=12\\\\subtitute\\\\y-12=4(x-22)\\y-12=4x-88\ \ \ |add\ 12\ to\ both\ sides\\y=4x-76\ \ \ \ |subtract\ "y"\ from\ both\ sides\\\boxed{4x-y-76=0}$