Question

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

Answer 1

Answer:

y-intercept = (0,6)

slope = -2

Step-by-step 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: $m = \frac{y_2-y_1}{x_2-x_1}$
• 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.

$m = \frac{y_2-y_1}{x_2-x_1}$

$m = \frac{0-6}{3-0}\\m = \frac{-6}{3}\\m = -2$

∴ 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)