Respuesta :
We determine line m as follows:
*First, by theorem we have the following:
[tex]m_1=-\frac{1}{m_2}[/tex]Here m1 & m2 are the slopes of two perpendicular lines. For all lines that are perpendicular that is true, so we calculate the slope of line m using the slope of the function given [Which has a slope of 7/4]:
[tex]m_1=-\frac{1}{\frac{7}{4}}\Rightarrow m_1=-\frac{4}{7}[/tex]So, the slope of line m is -4/7. Now, using this slope and the point (-1, 4) we replace in the following expression:
[tex]y-y_1=m_1(x-x_1)[/tex]Here x1, y1 & m1 are the x-component of the point, the y-component of the point, and the slope of the line respectively, so we replace and solve for y:
[tex]y-4=-\frac{4}{7}(x-(-1))\Rightarrow y-4=-\frac{4}{7}x-\frac{4}{7}[/tex][tex]\Rightarrow y=-\frac{4}{7}x+\frac{24}{7}[/tex]And that last function of y is the line m.
