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
3 answers
What is your given equation?
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
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
Looc
1 answer