Question

Write an equation in slope-intercept form of the line shown

Y=
Anybody can help with the answer?

Answer 1

Answer:

$y=2x-5$

Step-by-step explanation:

Slope Intercept is: $y=mx+b$

'm' - slope

'b' - y-intercept

Finding the Slope:

Slope is: $m=\frac{\text{Rise}}{\text{Run}} =\frac{y_2-y_1}{x_2-x_1}$

We are given the points (3,1) and (1,-3).

$m=\frac{-3-1}{1-3}=\frac{-4}{-2} =\frac{4}{2} =2$

The slope of the line is 2.

Therefore,

m = 2

Finding Y-Intercept:

We have the equation:

$y=2x+b$

To find the y-intercept, we can substitute x and y for a point on the line.

I will use (3,1):

$1=2(3)+b\\1=6+b\\1-6=6-6+b \leftarrow \text {Subtraction Property of Equality} \\\boxed {-5=b}$

The y-intercept is -5.

b = -5

Final Equation:

The equation for the line given in the question is $y=2x-5$.