Question

Find the slope and y- intercept of a line by writing the equation in slope- intercept form.Hint: Convert the given equation form into the slope-intercept form as deemed necessary:
a. y=4-2/3 x
b. 3x+7y-10=0
c. y-4=2x
d. 2y-10=2x

Answer 1

What is your given equation?

Answer 2

If a, b, c and d are not answers but questions then:

Slope-intercept form of a straight line is:

y = m x + b

m is the slope

b is the y intercept

a.

y = 4 - 2 / 3 x

y = - 2 / 3 x + 4

slope = - 2 / 3 , y - intercept = 4

b.

3 x + 7 y - 10 = 0

Subtract 3 x to both sides

7 y - 10 = - 3 x

Add 10 to both sides

7 y = - 3 x + 10

Divide both sides by 7

y = - 3 / 7 x + 10 / 7

slope = - 3 / 7 , y - intercept = 10 / 7

c.

y - 4 = 2 x

Add 4 to both sides

y = 2 x + 4

slope = 2 , y - intercept = 4

d.

2 y - 10 = 2 x

Add 10 to both sides

2 y = 2 x + 10

Divide both sides by 2

y = x + 5

slope = 1 , y - intercept = 5

Answer 3

Looc