Question

Please help me answer this !

Answer 1

`y = -(1)/(2)x + 4`

Explanation:

The equation of the line can be written in slope-intercept form, as y = mx + b.

We need to find the slope (m) and the y-intercept (b) of the line, then plug their values into the slope-intercept equation, to find the equation of the line shown.

y-intercept (b) = the point where the line intercepts the y-axis = 4

Using two points on the line, say, (0, 4) and (2, 3):

`slope (m) = (y_2 - y_1)/(x_2 - x_1) = (3 - 4)/(2 - 0) = (-1)/(2) = -(1)/(2)`

m = -½.

Substitute m = -½, and b = 4 into y = mx + b.

The equation of the line would be:

`y = -(1)/(2)x + 4`