Question

Identifying the slope, y-intercept and x- intercept of each

Answer 1

Answer:

slope= -3

y-intercept= 6

Step-by-step explanation:

1. Approach

To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.

2.Solve for the slope

The formula to find the slope of a line is;

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where (m) is the variable used to represent the slope.

Use the first two given points, and solve;

(1, 3), (2, 0)

Substitute in,

$\frac{(0)-(3)}{(2)-(1)}$

Simplify;

$\frac{-3}{1}\\\\=-3$

3. Put equation into slope-intercept form

The equation of a line in slope-intercept form is;

$y = mx + b$

Where (m) is the slope, and (b) is the y-intercept.

Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).

$y=-3x+b$

Substitute in point (3, -3)

$-3=-3(3)+b\\-3 = -9 + b\\6 = b$