Question

Write the equation of each line in slope intercept form.

Answer 1

y = -x + 4

Step-by-step explanation:

To find the equation from graph, select two points which the line goes through (0, 4), (4, 0)

slope intercept form: y = mx + c

• where m is the slope or gradient of the line and c is y-intercept

`\sf slope = (y_2-y_1)/(x_2-x_1)` where (x1, y1) and (x2, y2) are points

`\sf slope = (0-4)/(4-0)= -1` and here the y-intercept is at 4

So equation: y = -x + 4

Answer 2

y = -x + 4

Step-by-step explanation:

The slope-intercept form of a linear function is:

• y = mx + b

where m is the line's slope and b is its y-intercept.

We can identify this line's slope as:

slope = m = rise / run

m = -1 / 1

m = -1

We can identify its y-intercept (the y-value when the line crosses the y-axis) as:

b = 4

So, the slope-intercept form equation of the graphed line is:

y = -1x + 4

y = -x + 4