Write an equation in slope-intercept form and then in standard form for each line described. y-intercept - 2; x-intercept 5

Hello

the line passes by A (0; - 2) and B (5; 0) equation : y = ax+b

a is a slop : a = (yb - ya) / (xb - xa)

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

a = 2/5

y = (2/5) x+b

if x=5 and y = 0

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

b = - 2

the equation is : y = (2/5) x-2