How do you write a linear function equation that passes through points (-2,5) and (-4,7)?
1 Answer
Nov 26, 2016
Explanation:
The equation of a line in
#color(blue)"point-slope form"# is.
#color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))#
where m represents the slope and# (x_1,y_1)" a point on the line"# To calculate m, use the
#color(blue)"gradient formula"#
#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))#
where# (x_1,y_1),(x_2,y_2)" are 2 points on the line"# The 2 points here are (-2 ,5) and (-4 ,7)
#rArrm=(7-5)/(-4-(-2))=2/(-2)=-1# Use either of the 2 given points for
# (x_1,y_1)# substitute m = - 1 and (-2 ,5) into the equation.
#y-5=-1(x+2)rArry-5=-x-2# which simplifies to.
#y=-x+3#
