Final answer:
To write the slope-intercept form using the point-slope formula, find the slope between the two given points. Substitute one of the points into the equation. The slope-intercept form equation is y = (-2/5)x + 19/5.
Step-by-step explanation:
To write the slope-intercept form using the point-slope formula, we need to find the slope between the two given points and then use one of the points to substitute into the equation. The formula for finding the slope is m = (y2 - y1) / (x2 - x1). Let's use the points (2,3) and (-3,5) to find the slope:
m = (5 - 3) / (-3 - 2) = 2 / -5 = -2/5
Now, we can choose either of the two points and substitute it into the slope-intercept form equation y = mx + b. Let's use the point (2,3):
3 = (-2/5)(2) + b
Simplifying the equation, we get:
3 = -4/5 + b
Finally, solve for b:
b = 3 + 4/5 = 19/5
Therefore, the slope-intercept form equation is y = (-2/5)x + 19/5.