Answer: y = 3x + 7
Step-by-step explanation:
Since we are given the slope and y intercept we could write the equation in slope intercept form as y=mx +b .Only m and b are needed to write the equation.M is the slope and B is the y intercept.
Answer:
The answer to your question is: AC = 36
Step-by-step explanation:
Data
Segment AC with midpoint = B
AC = 5x - 9
AB = 2x
AC = ?
Process
total length = AC but B is the midpoint so AB + AB = CA
2AB = CA
Substitution 2(2x) = 5x - 9
4x = 5x - 9
Solve for x 4x - 5x = -9
-1x = -9
x = -9/-1
x = 9
Finally, AC = 5x - 9
= 5(9) - 9
= 45 - 9
= 36
Answer:
either or super sore
Step-by-step explanation:
<em>If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1</em>
<em>So the constant c is -2 and that means the value of f(-4) is</em>
<em>f(-4)=-2(-4)+3=8+3=11</em>
<em />
<em>Thus, the value of f(-4) is 11.</em>
<em />
<em>About why does "c" have to be -2, here's the proof.</em>
<em>Given y = f(x), therefore.</em>
<em>y=cx+3</em>
<em>Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3</em>
<em>1 - 3 = c and therefore, -2 = c #</em>
<em>So this is the proof that c = -2</em>
Given:
Equation of line 
.
To find:
The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.
Solution:
The given equation of line can be written as
Slope of line is
Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is
![[\because m_1=\dfrac{7}{4}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20m_1%3D%5Cdfrac%7B7%7D%7B4%7D%5D)
Now, the slope of perpendicular line is 
and it goes through (-21,2). So, the equation of line is
Therefore, the required equation in slope intercept form is .
