# 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]}