Answer:
We must must transform the standard form equation 3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.
3x+6y=5 (Subtract 3x on both sides.)
6y=−3x+5 (Divide both sides by 6.)
y=−
6
3
x+
6
5
y=−
2
1
x+
6
5
The slope of our first line is equal to −
2
1
. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is −
x
1
.
The negative reciprocal of −
2
1
is equal to 2, therefore 2 is the slope of our line.
Since the equation of line passing through the point (1,3), therefore substitute the given point in the equation y=2x+b:
3=(2×1)+b
3=2+b
b=3−2=1
Substitute this value for b in the equation y=2x+b:
y=2x+1
Hence, the equation of the line is y=2x+1.
Step-by-step explanation:
Hello you answer will be...... -x+4
let me know if I’m right
Answer:
4(x) -2=5
Step-by-step explanation:
Answer:
y = (4/9)x - 4
Step-by-step explanation:
4x - 9y = 36
4x - 9y - 4x = 36 - 4x
- 9y = -4x + 36
- 9y/(-9) = (-4x + 36)/(- 9)
y = (4/9)x - 4
Answer:
−4(x^2+9)
Step-by-step explanation:
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.