1.
the slope of the line y=3x+2 is the coefficient of x, that is 3.
2.
the slope of any line perpendicular to the line y=3x+2, is m, such that:

so

3.
so any line with equation y=-1/3x+k is perpendicular to y=3x+2.
moreover, the line y=-1/3x (so k=0) is the line passing through the origin
(0, 0) and perpendicular to y=3x+2
4. This means that the closest point of y=3x+2 to the origin is the intersection point of lines y=3x+2 and y=-1/3x
5.
to find this point:
3x+2=(-1/3)x
x(3+1/3)=-2
x(9/3+1/3)=-2
x*10/3=-2

thus y is : (-1/3)(-6/10)=0.2
Answer: (-0.6, 0.2)
Answer:
Graph A
Step-by-step explanation
I look at the y-intercept first, and the y-intercept is -4, so looking at each graph you can see both A and D have y-intercepts of -4, since the line intercepts, or goes through the y-axis (the vertical line of the graph) at -4.
Then, you look at the variable that's changing, which is -5x. Since it's a negative, A is the graph that is negatively decreasing, because of its position on the graph. The line is going down, starting in the negative side.
3x-18 is less than -90
First, you add 18 to both sides of the inequality (getting 3x is less than -72). Then you divide by 3 on both sides giving you your answer x is less than -24
i think is 5
Step-by-step explanation:
Answer:
A. 103º
B. 96º
C. m<4 = m<10
D. m<1 = m<16
E. m<5 = m<13
F. m<14 + m<15 = 180º
(Not entirely sure for C-F... But I hope this helps!)