Answer:
Slope = -2
y-intercept = 3
Step-by-step explanation:
Given:
The two points for the line on graph be,
Let,
point A( x₁ , y₁) ≡ ( 0 ,3)
point B( x₂ , y₂) ≡ (2 , -1)
To Find:
Slope = ?
y - intercept = ?
Solution:
Slope of a line when Two point is given we have,
[tex]Slope=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\\\[/tex]
[tex]\therefore Slope(AB)=\frac{-1-3}{2-0}\\\\Slope(AB)=\frac{-4}{2}=-2[/tex]
Intercepts:
The line which intersect on x-axis and y-axis are called intercepts.
There are two intercepts:
x-intercept: The line which intersect at x-axis. So when the line intersect at x-axis Y coordinate is zero.
y-intercept: The line which intersect at y-axis. So when the line intersect at y-axis X coordinate is zero.
so here point A(0 , 3) cuts on y axis.
∴ y-intercept = 3