Answer:
y = -1/5x +11/5
Explanation:
You want the equation of the line through point (1, 2) and perpendicular to y = 5x +4.
Slope
The slope of the given line is its x-coefficient: 5.
The slope of the perpendicular line is the opposite reciprocal of this: -1/5.
Point-slope equation
The point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
Then the equation for the line with slope -1/5 through point (1, 2) is ...
y -2 = -1/5(x -1) . . . . . point-slope equation of the line
Slope-intercept equation
We can rearrange this to slope-intercept form by solving for y and simplifying.
y = -1/5x +1/5 +2
y = -1/5x +11/5 . . . . . slope-intercept equation of the line
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