How do you write the equation of the line that passes through (2, 5) with a slope of 3 in standard form?
1 Answer
Jul 27, 2016
y = 3x - 1
Explanation:
Since given the slope and a point on the line then use the
#color(blue)"point-slope form"# to obtain the equation.
#color(red)(|bar(ul(color(white)(a/a)color(black)(y-y_1=m(x-x_1))color(white)(a/a)|)))#
where m represents the slope and#(x_1,y_1) " a point on the line"# here m = 3 and
#(x_1,y_1)=(2,5)# substitute these values into the equation.
#rArry-5=3(x-2)# distribute the bracket and simplify.
#rArry-5=3x-6rArry=3x-1#
