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 ≠ -2
Therefore, the point (3,-2) is not on the line (1). (Answer)
Answer:
The given equation y= -2/3 x+7 is NOT THE CORRECT equation.
y = -3 x + 7 is the correct equation.
Step-by-step explanation:
Here, the given point on the equation is ( 3, -2)
Y - Intercept = 7
Now, the SLOPE INTERCEPT form of the given equation is
y = m x + C ; here, C = Y - Intercept, and m = Slope
Putting in the given values of C = 7 , (x,y) = (3,-2) find the slope.
⇒ -2 = m (3) + 7
or, -9 = 3m
⇒ m = -9/3 = -3
So, the slope of the equation is -3
SO, th equation of the line is given as
y = (-3) x + 7
or, y = -3x + 7 is the given line equation.
Hence, the given equation y= -2/3x+7 is NOT THE CORRECT equation.
