Question

INSTRUCTIONS: Find the slope of the line and enter it here: INSTRUCTIONS: Find the slope of the line and enter it here: INSTRUCTIONS: Find the slope of the line and enter it here: 2. Find the y-intercept of the line & enter it here: Find the y-intercept of the line & enter it here: Find the y-intercept of the line & enter it here: Write the equation of the line in form y=mx+b Write the equation of the line in form y=mx+b Write the equntion of the line in form ymx +b 5 6 4

Answer 1

Equation of a line

The equation of a line in the slope-intercept form is:

y = mx + b

Where m is the slope of the line and b is the y-intercept.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

`\displaystyle m=(y_2-y_1)/(x_2-x_1)`

We need to identify two clear points through which the line passes. We select the points (0,-3) and (4,5). Calculate the slope:

`\displaystyle m=(5+3)/(4-0)=(8)/(4)=2`

1. The slope is m=2

The y-intercept of the line is the y-coordinate of the point where the line crosses the y-axis.

2. We can see the line crosses the y-axis at the point (0,-3), thus the y-intercept is b=-3.

3. The equation of the line is written as follows:

y = 2x - 3