No, the point (5, 3) is not a solution to the equaion y=3x+5.
In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
- m represents the slope or rate of change.
- x and y are the points.
- c represents the y-intercept or initial value.
Based on the information provided above, we can logically deduce the following linear equation:
y = 3x + 5
In order to determine if this ordered pair is a true solution based on the given linear equation, we would have to test the ordered pair by substituting its x- and y-values into the linear equation as follows;
y = 3x + 5
3 = 3(5) + 5
3 = 15 + 5
3 = 20 (False)
Complete Question:
Is the point (5,3) a solution of the equaion y=3x+5?