Q:

Sarita says the question of a line with a y-intercept of 7 that includes the point (3,-2) is y= -2/3x+7.Is she right if so explain why.If not,find the correct equation

Accepted Solution

A:
Answer:She is not right.Step-by-step explanation:Sarita says the equation of a line with a y-intercept of 7 that includes the point (3,-2) is [tex]y = - \frac{2}{3} x + 7[/tex] ........... (1) She is not right. Because, the equation of the straight line is in the slope-intercept form where 7 is the y-intercept but she said that the straight line includes the point (3,-2) which is not right as the point does not satisfy the equation. Putting x = 3 in the equation (1) we get,y = - 2 + 7 = 5 β‰  -2 Therefore, the point (3,-2) is not on the line (1). (Answer)