graph the equation $y = \\frac{1}{2}x + 3$.
graph the equation $y = \\frac{1}{2}x + 3$.
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 + 3), when (x = 0), (y=3). So one point is ((0,3)).
Step2: Use the slope to find another point
The slope (m=\frac{1}{2}=\frac{\text{rise}}{\text{run}}). From the point ((0,3)), if we move 2 units to the right (run (x) increases by 2) and 1 unit up (rise (y) increases by 1), we get the point ((2,4)) (since (y=\frac{1}{2}(2)+3=1 + 3=4)).
Step3: Plot the points and draw the line
Plot the points ((0,3)) and ((2,4)) on the coordinate plane. Then draw a straight line passing through these two points.
Answer:
Plot the points ((0,3)) and ((2,4)) and draw a straight line through them to graph (y=\frac{1}{2}x + 3).