Answer:
15<em>y</em> = -28 <em>x</em> + 205.
Step-by-step explanation:
Slope intercept form of equation is <em>y = mx + c</em> where m is slope and c is the y intercept.
Now slope of line passing through points (-5, 23) and (10, -5):

Now equation of line:
<em> y = mx + c</em>
substituting the value of m in above expression,

Now, since the line is passing through the point (-5, 23) therefore, x = -5 and y = 23. By substituting these values in above equation,



So equation of line in slope intercept form:
Further solving,
15<em>y</em> = -28 <em>x</em> + 205.
<span>1. </span><span>4x –y = 8, the point (-4, 3)
Let’s say y = 0
=> 4x – 8
=> 4x / 4 = 8 /4
=> x = 2
So the point is (2 , 0).
Now, we have 2 forms, the (2,0) and the (-4, 3)
=> (y2 – y1)(x2 – x1) = m
=> m = (0 - 3)(2-(-4))
=> m = (0 - 3)(2+4)
=> m = (-3)(6)
=> m = -1/2
Thus,
y = -1/2x + a
=> 0 = -1 + a so a = 1
y = -x/2 + 1</span>
Answer:
vertex of the angle
Step-by-step explanation:
Angle Introduction - The figure formed by the two line segments QR and QP from the common point Q is an angle. Angle Components - Segments QR and QP are called the sides or arms of the angle. The common point Q is called the vertex of the angle.
Answer:
x = 5/2; y = 7
Step-by-step explanation:
2x + y = 12
y = 2x + 2
Use substitution to replace y in the first equation with 2x + 2.
2x + 2x + 2 = 12
4x + 2 = 12
4x = 10
x = 10/4
x = 5/2
y = 2x + 2
y = 2(5/2) + 2 = 5 + 2
y = 7