A line has an x-intercept of 2 and a y-intercept of 6. Find the slope of the line

Question

I don't know how to solve this question.

Answer 1

an x-intercept of 2 means that y=0, thus the point (2,0)

a y-intercept of 6 means that x=0, thus the point (0,6)

the slope is (6-0)/(0-2)=6/-2=-3, thus m=-3

you can use the point-slope form or the slope-intercept form to find the equation of the line if you like...

using the slope-intercept form...

y=mx+b

using one of the points, say, (2,0)

0=-3*2+b

0=-6+b

b=6

y=-3x+6