The equation of line k in slope-intercept form is y = 2x
The standard form of an equation in point-slope form is expressed as:
[tex]y-y_0=m(x-x_0)[/tex] where:
m is the slope
(x0, y0) is the point on the line
Given the coordinates A(-3, 4) and B(1, 2)
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{2-4}{1-(-3)}\\m=\frac{-2}{4}\\m= \frac{-1}{2}[/tex]
The line perpendicular to the line passing through the point is 2
Substitute the point (1, 2) and slope m =2 into the expression:
[tex]y-2=2(x-1)\\y - 2=2x-2\\y=2x-2+2\\y=2x[/tex]
Hence the equation of line k in slope-intercept form is y = 2x
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