Question

a line that passes through the point (–1, 3) has a slope of 2. find another point on the line. a. (–3, 2) b. (0, 5) c. (1, 5) d. (1, 4)

Answer 1

$The\ slope-point\ form:y-y_1=m(x-x_1)\\--------------------\\m=2;\ (-1;\ 3)\to x_1=-1\ and\ y_1=3\\\\y-3=2(x-(-1))\\y-3=2(x+1)\\y-3=2x+2\ \ \ |add\ 3\ to\ both\ sides\\y=2x+5\\\\a)\ (-3;\ 2)\\L=2;\ R=2(-3)+5=-6+5=-1\\L\neq R\\\\b)\ (0;\ 5)\\L=5;\ R=2(0)+5=5\\L=R\\\\c)\ (1;\ 5)\\L=5;\ R=2\cdot1+5=2+5=7\\L\neq R\\\\d)\ (1;\ 4)\\L=4;\ R=2\cdot1+5=2+5=7\\L\neq R\\\\Answer:\boxed{b)\ (0;\ 5)}$