Find the equation of the line passing through 14 and perpend

Solution

The slope-intercept format for a line is expressed as:

y = mx + b

where m is the slope and b is the y-intercept for the line.

Therefore, the slope of the line y = 1/4x - 2 is equal to 1/4.

For perpendicular lines, the slopes are the negative inverse of each other. Therefore, the slope of the line perpendicular to this line would be -1/(1/4)=-4.

The equation of the line would therefore be:

y = (-4)x + b

We can find the y-intercept \"b\" because we know the line passes thru (1,-4). Therefore we know that x = 1 when y=-4.

Plugging these values into the equation gives:

-4 = (-4)(1) + b

Solving for b, we get

b = -4 +4

b =0

Therefore, the equation of the perpendicular line is:

y = (-4)x - 0 or y=-4x

Hope this will helpful you:)