Question

Write the equation of the line in slope-intercept form given

• Point (5,6)
• Point (3,-2)

Answer 1

y = 4x - 14 or y = 2(x - 7)

Explanation:

Finding the slope

• m = -2 - 6 / 3 - 5
• m = -8/-2
• m = 4

Finding the y-intercept

• Take x-coordinate to be 0 and take one of the 2 points mentioned and put in the point-slope equation form
• y - 6 = 4(0 - 5)
• y - 6 = 4(-5)
• y = -14

Making the equation using slope-intercept form

• y = mx + c
• y = 4x - 14 or y = 2(x - 7)

Answer 2

Explanation:

(-2-6)/(3-5)= -8/-2= 4

y+2= 4(x-3)

y+2= 4x-12

y=4x-14