Answer:
To graph a line using the slope-intercept method, we need to determine the slope and the y-intercept of the line. The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope and b represents the y-intercept.
In order to graph the line, we first need to identify the slope and y-intercept from the given information or equation. If the equation is not provided, we may need additional information to determine these values.
Once we have the values for the slope and y-intercept, we can plot the y-intercept on the y-axis (where x = 0) and use the slope to determine additional points on the line. The slope represents the change in y divided by the change in x, so we can use this ratio to find other points.
After plotting the y-intercept and at least one additional point on the line, we can draw a straight line connecting these points to graph the line.
For example, if the equation is y = 2x + 3, we can determine that the slope is 2 (the coefficient of x) and the y-intercept is 3. We would plot the point (0, 3) on the y-axis, then use the slope of 2 to find additional points. For instance, if we move one unit to the right (increase x by 1), we would move two units up (increase y by 2), and vice versa.
By connecting these points with a straight line, we can graph the line represented by the equation y = 2x + 3 using the slope-intercept method.