Answer:
[tex]y = \frac{5}{4}x - 1[/tex]
Step-by-step explanation:
A line that passes through the point (4,-6) has a slope of 5/-4. Which of the following gives the equation of the line?
With the slope of 5/-4, and the ordered pair (4,-6) :
let m = 5/-4 (slope),
x1 = 4
y1 = -6
We can use those given values into the point-slope formula:
y - y1 = m(x - x1)
Plugging in those values will give you the answer:
y - (-6) = [tex]\frac{5}{-4}[/tex] (x - 4)
Distribute [tex]\frac{5}{-4}[/tex] into the terms inside the parenthesis:
y + 6 = [tex]\frac{ 5}{-4}x[/tex] + 5
Subtract 6 from both sides to isolate y:
y + 6 - 6 = [tex]-\frac{ 5}{4}x[/tex] +5 - 6
The equation of the line in slope-intercept form is:
[tex]y = -\frac{ 5}{4}x - 1[/tex]
