How do you graph the line y= -2x+3?
1 Answer
Mar 29, 2017
see explanation.
Explanation:
To graph a line we require 2 points.
The equation of a line in
color(blue)"slope-intercept form" is.
color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))
where m represents the slope and b, the y-intercept.
y=-2x+3" is in this form"
rArr"y-intercept "=b=3to(0,3)color(red)" is point on line" To find another point on the line, choose any value for x, substitute into the equation and evaluate for y
x=3toy=(-2xx3)+3=-6+3=-3
rArr(3,-3)color(red)" is a point on the line" Plot the 2 points, draw a straight line through them to obtain the graph.
graph{-2x+3 [-10, 10, -5, 5]}
