Question

Brainlist & 15 Points Prize Please Help 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.
 

Answer 1

Answer:

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