Respuesta :
Answer:
y= -3/4x-38
Step-by-step explanation:
- -3/4=slope or (m), (-14,4) is -14=x1 4=y1
- formula is y-y1=m(x-x1)
- y-4= -3/4(x-(-14)----> -14 becomes positive
- y-4 = -3/4(x+14)----> distribute
- y-4= -3/4x-42
- +4 +4 -------> get y alone
- y= -3/4x-38
The equation of a line with slope of [tex]-\frac{3}{4}[/tex] that passes through the point [tex](-14,4)[/tex] is [tex]3x+4y+28=0[/tex].
The equation of a line that passes through a point [tex](x_1,y_1)[/tex] and slope m is:
[tex](y-y_1)=m(x-x_1)[/tex]
Here, point is [tex](-14,4)[/tex] and slope is [tex]-\frac{3}{4}[/tex].
So, [tex]x_1=-14, y_1=4[/tex] and [tex]m=-\frac{3}{4}[/tex].
Now, the equation of the line is :
[tex](y-y_1)=m(x-x_1)[/tex]
[tex](y-4)=-\frac{3}{4}(x-(-14))[/tex]
[tex]4(y-4)=-3(x+14)[/tex]
[tex]4y-16=-3x-42[/tex]
[tex]3x+4y-16+42=0[/tex]
[tex]3x+4y+26=0[/tex]
Learn more about slope here:
https://brainly.com/question/15660101?referrer=searchResults
