Answer:
First, we have to find slope. We do that by using slope formula. Once we have found slope, we have start to write our equation in slope-intercept form. To get the complete equation, we need to find the y-intercept. To do so, we simply plug in one of the coordinates given to us into our half-formed equation. We should be able to find the y-intercept and then have our complete linear equation once we write it all out.
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: 
Answer: (5,0)
Step-by-step explanation:
x - 3y =5 -----------(1)
2x + y = 10 ----------(2)
By elimination method, multiply eqn(1) by 2
2x - 6y = 10 ------------(3)
eqn(3) - eqn(2)
-7y = 0
Divide bothside by -7
y= 0
Now, we substitute the value of y in eqn(1)
x - 3(0) = 5
x - 0 = 5
x=5
Therefore,x=5 and y=0
Answer:
C
Step-by-step explanation:
7x + 3y = 30 (equation 1)
-2x + 3y = 3 (equation 2)
9x = 27 (subtract the two equations to eliminate y)
x = 3 (divide by 9)
7 * 3 + 3y = 30 (Substitute x = 3 into equation 1, it doesn't matter which equation you substitute into)
21 + 3y = 30 (7 * 3 = 21)
3y = 9 (Subtract 21)
y = 3 (divide by 3)
Answer is (3, 3)
Answer:
y = -x - 4
Step-by-step explanation:
Plug in the point and slope into the equation y = mx + b, and solve for b:
y = mx + b
-6 = -1(2) + b
-6 = -2 + b
-4 = b
Then, plug in b and the slope into y = mx + b
y = -1x - 4
y = -x - 4 is the equation of the line
