Question

How do you solve this?

Answer 1

Slope = -2

y-intercept = 3

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,

`Slope=(y_(2)-y_(1) )/(x_(2)-x_(1) )\\\\`

`\therefore Slope(AB)=(-1-3)/(2-0)\\\\Slope(AB)=(-4)/(2)=-2`

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