Brainlist & 15 points prize asap a line goes through the points (7,8) and (3, 10). a) what is the slope of the line? show your work. b) write the equation of the line in point-slope form. show your work. c) write the equation of the line in slope-intercept form.  

a) The slope is -1/2

b) y - 10 = -1/2(x - 3)

c) y = -1/2x + 23/2

Step-by-step explanation:

a) To find the slope of the line, we use the slope formula

m(slope) = (y2 - y1)/(x2 - x1)

m = (10 - 8)/(3 - 7)

m = 2/-4

m = -1/2

b) to find the point-slope form, we use the slope we found in part a along with either point. Then we stick it into the base equation.

y - y1 = m(x - x1)

y - 10 = -1/2(x - 3)

c) To find the slope-intercept form, we simply solve the point-slope form for y.

y - 10 = -1/2(x - 3)

y - 10 = -1/2x + 3/2

y = -1/2x + 23/2

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: