Write the Standard Form of the line with x-intercept of 5 and y-intercept of -2. Explain how you arrived at your answer.

Answer 1

(5,0), (0,2) are two points on a line with slope = m = (2-0)/(0-5) = -2/5=m

general equation is y=mx+b

y= (-2/5)x + b, to solve for b, plug in either point

2 = (-2/5)(0) + b

b =2

y= -2x/5 + 2 is the equation of the line through the two given points,the two intercepts

that's in standard slope intercept form

or you could eliminate fractions

5y =-2x +10

2x +5y = 10 in ax+by = c form