SOLUTION: what is the slope-intercept form of the equation of the line whose x-intercept is 3 and whose y-intercept is 5?

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Question 54551This question is from textbook Algebra 1 concepts and skills
: what is the slope-intercept form of the equation of the line whose x-intercept is 3 and whose y-intercept is 5? This question is from textbook Algebra 1 concepts and skills

Found 2 solutions by checkley71, wgomero:
Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website!
AN X INTERCEPT OF 3 IS DEFINED BY THE POINT(3,0) & THE Y INTERCEPT OF 5 IS DEFINED BY THE POINT(0,5).
NOW WE FIND THE SLOPE (5-0)/(0-3)=5/-3 OR THE SLOPE IS -5/3
NOW WE USE THE LINE EQUATION Y=mX+b WHERE THE m VALUE IS THE SLOPE AND THE b VALUE IS THE Y INTERCEPT POINT SO WE HAVE Y=-5/3X+5
TO PROVE WE HAVE THE CORRECT EQUATION YOU CAN SUBSTITUTE EITHER SET OF X&Y VALUES IN THIS EQUATION AND SOLE IT. THUS
0=-5/3*3+5 OR 0=115/3-5 OR 0=-5+5 OR 0=0
5=-5/3*0+5 OR 5=0+5 OR 5=5

Answer by wgomero(28) (Show Source):
You can put this solution on YOUR website!
Resolution:
first you need to find two points in order to find the slope.
x-intercept is 3; this mean that the x interception point is (3,0)
y-intercept is 5; this mean that the y interception point is (0,5)
now you have two points (3,0); (0,5)
the slope formula is m = (y - y1)/(x - x1) replace values:
(5 - 0)/(0 -3); 5/-3; so the slope is m = -5/3.
the slope-intercept is y = mx + b; pick point (0,5) and replace values in the formula. y = -5/3(x) + b where b is the y intercept.