# How do you graph #1.5=y-3x# using the slope and intercept?

##### 1 Answer

Aug 18, 2016

see explanation.

#### Explanation:

Rearrange the given equation into

#color(blue)"slope-intercept form"# That is

#color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))#

where m represents the slope and b, the y-intercept.add 3x to both sides.

#1.5+3x=y-cancel(3x)cancel(+3x)rArry=3x+1.5# From this equation, slope = 3 and y-intercept = 1.5

To graph: Plot y= 1.5 on the y-axis.a slope of 3

#=3/1# means 3 units vertically for every 1 unit horizontally.Now from 1.5 on the y-axis move 3 up and 1 right, plot the point. Repeat for another point and draw a straight line through the 3 points.

graph{3x+1.5 [-10, 10, -5, 5]}