The equation of the line is [tex]y=-\frac{3}{4}x+\frac{1}{4}[/tex]
Step-by-step explanation:
The equation of a line can be written using the following form
[tex]y-y_0 = m(x-x_0)[/tex]
where
m is the slope of the line
[tex](x_0,y_0)[/tex] are the coordinates of a point lying on the line
For the line in this problem, we know that:
[tex]m=-\frac{3}{4}[/tex] is the slope
[tex](x_0,y_0)=(-5,4)[/tex] are the coordinates of the point
Therefore, substituting into the equation,
[tex]y-4=-\frac{3}{4}(x-(-5))[/tex]
And re-arranging the equation we get:
[tex]y-4=-\frac{3}{4}(x+5)\\y-4=-\frac{3}{4}x-\frac{15}{4}\\y=-\frac{3}{4}x+(4-\frac{15}{4})\\y=-\frac{3}{4}x+\frac{1}{4}[/tex]
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Answer:
The equation of the line is y=-3/4x+1/4
Step-by-step explanation:
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