Write the equation of a line with aslope of 12 and through 4

Write the equation of a line with aslope of 1/2 and through (-4,5). Write in slope intercept form.

Solution

Standard slope intercept form of line: y = mx +c

m ----> slope ; c----> y intercept

m = 1/2 ; y = x/2 +c

Use point (-4,5) to find c:

5 = -4(1/2) +c ----> 5 = -2 +c

c= 7

y = x/2 +7