Answer:
Given the system of equation:
......[1]
......[2]
we can rewrite equation [2] as;
......[3]
Substitute equation [3] into [1] to eliminate x, and solve for y;
Using distributive property: 
Combine like terms;
16 - 8y = -4
Add 4 to both sides we have;
20 - 8y = 0
Add 8y to both sides we have;
20 = 8y
Divide 8 to both sides we have;
Substitute the y-value in [3] we have;
x = 8 - 5 = 3
Therefore, the expression should be substituted into the first equation is, and also the value of x = 3 and y = 2.5
Answer:
The slope of a line that includes the points (4, -2) and (5, 0) is 2
Step-by-step explanation:
You know that the formula y - y1 = m(x - x1) is the point-slope form of the equation of a line where m is the slope of a line.
The line must include the points (4, -2) and (5, 0). So, being:
- (x,y)= (4,-2)
- (x1,y1)= (5, 0)
and replacing in the point-slope form of the equation of a line:
-2-0=m(4-5)
You solve the equation for m and get:
-2=m*(-1)
m=2
<u><em>The slope of a line that includes the points (4, -2) and (5, 0) is 2</em></u>
This line y = 4/5 x - 3 has slope = 4/5
Perpendicular lines, slope is opposite and reciprocal so slope of a line that is perpendicular to the line y = 4/5 x - 3 is -5/4
Answer
- 5/4
Put the second equation so it's in y= form, it should be the same :)
