-8y + 9x = -5
8y + 7x = -75 +
--------------------------
/ 16x = -80
x = -80/16
x = -5
8y + 7x = -75
8y - 35 = -75
8y = -75 + 35
8y = -40
y = -40/8
y = -5
Answer : x = y = -5
A. (-3,5)(0,7)
slope = (7 - 5) / (0 - (-3) = 2/3
y = mx + b
slope = 2/3
(0,7)...x = 0 and y = 7
sub and find b, the y int
7 = 2/3(0) + b
7 = b....this is ur y int (0,7)
so ur equation for this line is : y = 2/3x + 7
b. (6,2)(9,4)
slope = (4 - 2) / (9 - 6) = 2/3
y = mx + b
slope(m) = 2/3
(6,2)...x = 6 and y = 2
sub and find b, the y int
2 = 2/3(6) + b
2 = 4 + b
2 - 4 = b
-2 = b...this is ur y int (0,-2)
so this equation is : y = 2/3x - 2
so " a " has a slope of 2/3 and a y int of 7 and " b " has a slope of 2/3 and a y int of -2.
ur lines are parallel lines.....parallel lines will have the same slope and different y intercepts <===
The slope-intercept form is written under the form of
y=mx+b where m represent the slope and y represent y-intercept. In this case, we know that the m is 8, but we don't have b yet. To find the answer, substitute (0,5) into an equation where y=5 and x=0
y=mx+b
y=8x+b
5=8(0)+b
5=b, so we have the complete y-intercept form which is y=8x+b
Or
You can you this
y-y1=m(x-x1) where point (x1,y1) represent point (0,5) in this case which led to:
y-y1=m(x-x1)
y-5=8(x-0)
y-5=8x-8(0)
y-5=8x
Add 5 to each side
y-5+5=8x+5
y=8x+5 represent the slope-intercept form. Hope it help!
If you only have one line, then both systems are equal to each other. For each x+y=2 and y+x=2 has the solution that are on the same line.
Answer: (4,6)
Explanation:
x - 3y = -14
x - y = -2
Multiply a -1 to the first equation so the x’s can cancel out.
-x + 3y = 14
x - y = -2
Subtract the two equations together.
2y = 12
y=6
Now, plug in y to one of the original equations.
x - (6) = -2
x=4
Therefore, the answer is: (4,6)