Question

Write the question, in slope-intercept form, for the line shown in the graph below:

Can some one pls help me in this math problem?

Answer 1

The question, in the slope-intercept form will be:

• 
  `y=1(x)+0`

Explanation:

Taking the two points on the line to find the slope

(0, 0)

(4, 4)

`\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(4,\:4\right)`

`m=(4-0)/(4-0)`

`m=1`

As the point-slope form is

`y-y_1=m\left(x-x_1\right)`

where m is the slope

substituting the values m = 1 and the point (0, 0)

`y-y_1=m\left(x-x_1\right)`

`y-0=1(x-0)`

`y=x`

As the slope-intercept form is

`y=mx+b`

where m is the slope and b is the y-intercept

so writing the equation in slope-intercept form

`y=x`

`y=1(x)+0`

Therefore, the question, in the slope-intercept form will be:

• 
  `y=1(x)+0`