Question

• 10 17 (10 complete) Find an equation of the line in the form ax + byc whose x-interceptis 4 and y-intercept is 2 where a, b, and care integers with no factor common to all three and a 20 The equation of the line is IN (Type an equation)

Answer 1

y+0.5x-2=0

Explanation:

Given,

X-intercept of line = 4

So, the line intersect the x axis at (4,0)

Y-intercept of the line = 2

So, the line intersect the y axis at (0,2)

So, the slope of the line can be given by

`m\ =\ (y_2-y_1)/(x_2-x_1)`

`=\ (2-0)/(0-4)`

= -0.5

Hence, the equation of line can be given by

y=mx+c

where, m=slope of the line

c= y-intercept of line

So, after putting the value of m and c in above equation, the equation of line will be

y = -0.5x + 2

=> y+0.5x-2=0

So, the equation of line will be y+0.5x-2=0.