Answer:
y = (1/2)x + 7/2
Step-by-step explanation:
First: "slope-intercept form" looks like y = mx + b, where b is the y-coordinate of the intercept.
Starting with y-3=1/2(x+1), solve for y. First, multiply both sides of this equation by 2 so as to eliminate the fractional coefficient (1/2):
2y - 6 = x + 1.
Solve for y: First add 6 to both sides to isolate 2y:
2y = x + 7
Finally, division of all three terms isolates y and yields:
y = (1/2)x + 7/2
Here the slope is 1/2 and the y-intercept is 7/2.
