The linear equation in two variables in standard form will be
ax + by + c = 0
a = coefficient of x
b = coefficient of y
c = constant
The linear equation in two variables in slope intercept form will be
y = mx + b
m = slope
b = y-intercept
Convert the following equations from standard to slope-intercept form.
Problem 1:
Standard form: 10x - 7y = -8
Slope-intercept form: ______
Solution:
10x - 7y = -8
Subtract 10x from each side.
-7y = -10x - 8
Divide each side by -7.
y = (-10x - 8)/-7
y = 10/7x + 8/7
Problem 2:
Standard form: 8x + y = 9
Slope-intercept form: ______
Solution:
8x + y = 9
Subtract 8x from each side.
y = -8x + 9
Problem 3:
Standard form: x + 6y = -2
Slope-intercept form: ______
Solution:
x + 6y = -2
Subtract x from each side.
6y = -x - 2
Divide each side by 6.
y = (-x - 2)/6
y = -1/6x - 2/6
y = -1/6x - 1/3
Problem 4:
Standard form: 4x + 3y = 9
Slope-intercept form: ______
Solution:
4x + 3y = 9
Subtract 4x from each side.
3y = -4x + 9
Divide each side by 3.
y = (-4x + 9)/3
y = -4/3x + 9/3
y = -4/3x + 3
Problem 5:
Standard form: 3x + 12y = -8
Slope-intercept form: ______
Solution:
3x + 12y = -8
Subtract 3x from each side.
12y = -3x - 8
Divide each side by 12.
y = (-3x - 8)/12
y = -3/12x - 8/12
y = -1/4x - 2/3
Problem 6:
Standard form: x + 2y = -8
Slope-intercept form: ______
Solution:
x + 2y = -8
Subtract x from each side.
2y = -x - 8
Divide each side by 2.
y = (-x - 8)/2
y = -1/2x - 8/2
y = -1/2x - 4
Problem 7:
Standard form: 11x - 8y = 3
Slope-intercept form: ______
Solution:
11x - 8y = 3
Subtract 11x from each side.
-8y = -11x + 3
Divide each side by -8.
y = (-11x + 3)/-8
y = 11/8x - 3/8
Problem 8 :
Standard form: 4x + 5y = 4
Slope-intercept form: ______
Solution :
4x + 5y = 4
Subtract 4x from each side.
5y = -4x + 4
Divide each side by 5.
y = (-4x + 4)/5
y = -4/5x + 4/5
Problem 9 :
Standard form: 10x - 12y = -4
Slope-intercept form: ______
Solution :
10x - 12y = -4
Subtract 10x from each side.
-12y = -10x - 4
Divide each side by -12.
y = (-10x - 4)/-12
y = 10/12x + 4/12
y = 5/6x + 1/3
Problem 10 :
Standard form: 3x - y = 9
Slope-intercept form: ______
Solution :
3x - y = 9
Subtract 3x from each side.
-y = -3x + 9
Multiply each side by-1.
y = 3x - 9
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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