graph the line with the equation $y = \\frac{1}{2}x + 5$.
graph the line with the equation $y = \\frac{1}{2}x + 5$.
Answer
Explanation:
Step1: Find the y - intercept
The equation is in slope - intercept form (y = mx + b), where (b) is the y - intercept. For (y=\frac{1}{2}x + 5), when (x = 0), (y=5). So one point is ((0,5)).
Step2: Use the slope to find another point
The slope (m=\frac{1}{2}=\frac{\text{rise}}{\text{run}}). From the point ((0,5)), if we move 2 units to the right (run (x = 2)) and 1 unit up (rise (y=5 + 1=6)), we get the point ((2,6)).
Step3: Draw the line
Plot the points ((0,5)) and ((2,6)) on the coordinate plane and draw a straight line passing through them.
Answer:
Plot the points ((0,5)) and ((2,6)) and draw a line through them.