Question

Write an equation of the line in slope-intercept form given the slope and coordinates of the y-intercept. m space equals space 4 over 3 semicolon space open parentheses 0 comma space 2 over 5 close parentheses Select one:

a. y = 3x + 5
b. y space equals space 4 over 3 x space plus space 2 over 5
c. y = 4x + 2
d. y space equals space 2 over 5 x space plus space 4 over 3

Answer 1

y = mx + b where m = slope and b = y intercept

m is given as 4/3 so we can write y = (4/3)x + b
now we find value of b
now the point 0,2/5) is on the line so we plug in these values:-
2/5 = (4/3)*0 + b giving b = 2/5
y = (4/3)x + 2/5

so the answer is b