Question

Part A Find the y-intercept and slope of the line. ​

Answer 1

y-intercept = (0,6)

slope = -2

Explanation:

⭐What is the slope of a line?

• The slope of a line is how steep the line is

⭐How can we find the slope of a line?

• Use the formula:
  `m = (y_2-y_1)/(x_2-x_1)`
• m = the slope
• 
  `(x_1,y_1)` is one of the coordinates of the given line
• 
  `(x_2, y_2)` is another coordinate of the given line

To find the slope, pick two coordinates you see on the line, substitute them into the slope formula, and solve for the slope!

I am choosing the coordinates (0,6) and (3,0), but you can choose any 2 coordinates that you see on the line.

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

`m = (0-6)/(3-0)\\m = (-6)/(3)\\m = -2`

∴ The slope of the line is -2.

⭐ What is the y-intercept of a line?

• The y-intercept of a line is the point (0,y) at which the line intersects the y-axis

⭐How do we find the y-intercept of a line?

• Look at the graph
• Find the corresponding y-coordinate for when x=0

When x=0, y=6

∴ The y-intercept of the line is (0,6)