Consider the point (5,7) which lies on line l in the coordinate plane. Could y=7/5x represent line l?
you are correct.
check to see whether
7 = (7/5)(5)
what do you think?
It's 7=7. So it does represent line l, right?
consider the point p (-2,1) and the line l: x+y=2
find slope of l
To determine if the equation y = (7/5)x represents line l, we need to check if the point (5,7) satisfies the equation.
The equation y = (7/5)x represents a line in slope-intercept form, where the coefficient of x (7/5) is the slope of the line, and the constant term (0) is the y-intercept.
To check if the point (5,7) lies on the line, substitute the x and y coordinates of the point into the equation and see if both sides are equal:
y = (7/5)x
Substituting x = 5 and y = 7:
7 = (7/5)(5)
Simplifying the expression on the right side:
7 = 7
Since both sides are equal, we can conclude that the point (5,7) lies on the line represented by the equation y = (7/5)x. Therefore, the equation y = (7/5)x can indeed represent line l.