Final answer:
To find the equation in slope-intercept form, we calculate the slope using the formula: m = (y2 - y1) / (x2 - x1), then solve for the y-intercept using one of the given points and the slope. Finally, we substitute the slope and y-intercept into the equation y = mx + b to obtain the final equation in slope-intercept form.
Step-by-step explanation:
Slope Intercept Form of (7,3) and (-1,5)
To find the equation in slope-intercept form, we need to use the formula: y = mx + b.
Step 1: Calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1).
Step 2: Use one of the given points and the slope to solve for the y-intercept (b).
Step 3: Substitute the slope (m) and y-intercept (b) into the equation y = mx + b to get the final equation in slope-intercept form.
The equation in slope-intercept form for the points (7,3) and (-1,5) is y = -1/2x + 5/2.