Answer:
1) y = - 9
2) y = -3x + 4
Step-by-step explanation:
NUMBER ONE
The slope of tghe line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (- 9 - (-9)) ÷ ( 5 - (-3))
= 0
The slope is zero because the y values of the line remain the same which means the line doesn't slope or rise.
We can now use the point-slope form to write the equation for this line:
y - y₁ = m(x - x₁)
y - (-9) = 0 (x - (-3))
y + 9 = 0
y = - 9
NUMBER TWO
For the slope-intercept form ( y = mx + c ) we need two main things: the slope (m) and the y-intercept (c)
slope = (y₂ - y₁) ÷ (x₂ - x₁) = (10 - (-11)) ÷ (-2 - 5)
= 21 ÷ (-7)
= - 3
Let's write the equation without the value of c. This will help us solve for it.
y = -3x + c
if we substitute in a point give (-2 , 10) we can find c
10 = -3 (-2) + c
10 = 6 + c
c = 10 -6
c = 4
⇒ the equation of the line is y = -3x + 4
