The perpendicular slope is the negative reciprocal of the slope of the line it is perpendicular to. Therefore, the slope would be the negative reciprocal of -1/2 which would be 2.
From there, you plug in the coordinate into x and y and solve for b;
5 = 2 * -3 + b
5 = -6 + b
b = 11
Therefore the equation is;
y = 2x + 11
The slope intercept form of a line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). We are given that the slope is 4/5 and the point (0,1) so we know m=4/5 and b=1 so:
y=4x/5+1 now to rearrange into standard form ax+by=c
y=(4x+5)/5
5y=4x+5
5y-4x=5
So the answer is D.
However, by convention, in standard form, the equation is usually expressed with a positive coefficient for x.
5y-4x=5 SHOULD be expresses so the x has a positive coefficient, divide both sides by -1 and you have the technically correct form:
4x-5y=-5
Apparently whomever/whatever posed this question to you was unaware of this convention :P
Answer:
x=1
Step-by-step explanation:
Trust me
Answer:5,000
Step-by-step explanation:
Combine like terms
c+5.3=0.6
Subtract 5.3 from both sides
c=-4.7