The equation of line which has slope -3/4 and passes through a point (-5,4) is given by
y = -3/4x +1/4
We have been given,
Slope = m = -3/4
Point = (x1,y1) = (-5,4)
The general slope-intercept form is given as,
y = mx + c
where m = slope
c = intercept
Further, the formula to find the equation of line when we have been given one point and the slope is as follows,
(y-y1) = m(x-x1) (1)
Now putting the required value in equation (1) we will get,
(y-4) = -3/4(x+5)
y-4 = -3/4x – 15/4
y = -3/4x – 15/4 + 4
y = -3/4x +1/4
Thus, the equation of line which has slope -3/4 and passes through a point (-5,4) is given by
y = -3/4x +1/4
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