A Line Passes Through The Points (7, 4) And (8, 6). What Is Its Equation In Slope-Intercept Form? Write Your Answer Using Integers, Proper Fractions,

A line passes through the points (7, 4) and (8, 6). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

 

Answer:

y = 2x - 10

Step-by-step explanation:

Given: (7, 4) and (8, 6)

Ask: What is its equation in slope-intercept form?

Formula:

m = y2 - y1

       x2 - x1

y − y1 = m(x − x1)

Solution:

Solve first the value of m or the slope.

m = y2 - y1

       x2 - x1

m = 6 - 4

      8 - 7

m = 2/1 or 2

So, the value of m is 2.

Next step, choose one from any of the two points (7, 4) and (8, 6). And substitute the value of m which is 2.

If we use the first point (7, 4) this is the solution:

y − y1 = m(x − x1)

y - 4 = 2(x - 7)

y -4=2x -14

y = 2x - 14 + 4

y = 2x - 10

If we use the first point (8, 6) this is the solution:

y − y1 = m(x − x1)

y - 6 = 2(x - 8)

y - 6= 2x -16

y = 2x -16 +6

y = 2x -10

Therefore the equation is y = 2x - 10.