Final answer:
The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept. To formulate the slope-intercept form given a point and slope, substitute the values into the equation and solve for the y-intercept.
Step-by-step explanation:
The slope-intercept form of a line is given by the equation y = mx + b, where m represents the slope of the line and b represents the y-intercept. To formulate the slope-intercept form of a line given a point and slope, we need to substitute the given values into the equation and solve for the y-intercept. Let's say the slope is m and the coordinates of the given point are (x, y). We can use the slope m and the coordinates of the point (x, y) to calculate the y-intercept b using the formula b = y - mx. Finally, we can substitute the values of m and b into the equation y = mx + b to get the slope-intercept form of the line.