MATH SOLVE

4 months ago

Q:
# write an equation in standard form of the line that passes through (3,1) and has a y-intercept of -2

Accepted Solution

A:

Answer:The standard equation of line is y = x - 2 Step-by-step explanation:Given as for a line :The line passes through points ( 3 , 1 )The y- intercept of the line is - 2Now, The equation of line in standard form y = m x + cwhere m is the slope of line∵ y -intercept is - 2 so, x = 0∴ - 2 = m × 0 + cI.e c = - 2So, equation of line with points ( 3 , 1 ) and constant cy = m x + cSo, 1 = m × 3 - 2or, m × 3 = 1 + 2Or, m × 3 = 3∴ m = 1 So, the standard equation of line with slope 1 y = m x + cor, y = 1 × x - 2Hence The standard equation of line is y = x - 2 Answer