Hurry 30 pts what is the equation of the graphed line written in standard form? a. 3x + y = –5 b. x + 3y = –5 c. 3x – 5y = –15 d. 5x – 3y = 15

D

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 0 ) and (x₂, y₂ ) = (0, - 5 )

m = =

line crosses y-axis at (0, - 5 ) hence c = - 5

y = x - 5 ← in slope-intercept form

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

rearrange slope-intercept form into standard form

multiply all terms by 3

3y = 5x - 15 ( subtract 3y and add 15 to both sides )

5x - 3y = 15 ← in standard form → D

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.