Question

I know the answer but i dont know how to do it please help

passes through (4,2) perpendicular to y=-2x+3

Answer 1

`y = (1)/(2) x`

Explanation:

y= -2x +3

Since this equation is in the slope-intercept form, we can identify its slope from the coefficient of x.

Slope= -2

The product of the gradients of perpendicular lines is -1. Let the slope of the unknown line be m.

m(-2)= -1

m= -1 ÷(-2)

m= ½

y= ½x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 4, y= 2,

2= ½(4) +c

2= 2 +c

c= 2 -2

c= 0

Thus, the equation of the line is y= ½x.

Notes:

Slope-intercept form

y= mx +c, where m is the gradient and c is the y-intercept.