Question

Match the correct y=mx+b equation tot he graph show explanation please

Answer 1

Given:

Line of the graph

To find:

Equation of the line

Solution:

Take any two points on the graph of the line.

Let the points are (0, 3) and (3, 0).

Slope of the line:

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

Here, $x_1=0, y_1=3, x_2=3, y_2=0$

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

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

m = -1

b = y-intercept

y-intercept of the graph is the point which x = 0.

y-intercept is 3 when x = 0.

⇒ b = 3

Equation of a line:

y = mx + b

y = -1(x) + 3

y = -x + 3

The equation of the line is y = -x + 3.