The y intercept is at y = 1
Step-by-step explanation:
Step 1 :
Given, line's equation is = Y= - [tex]\frac{3}{4}[/tex] x + 5
Slope of the line perpendicular to this line = [tex]\frac{4}{3}[/tex] [As the product of the slope of 2 perpendicular lines is -1]
The point (-3,-3) lies on the line
Hence the new line's equation can be obtained using the formula
(y - y1 ) = m (x-x1) ,
where (x1,y1) = point on the line
m = slope of the line
Substituting,
y + 3 = [tex]\frac{4}{3}[/tex] (x + 3)
y + 3 = [tex]\frac{4}{3}[/tex] x + 4
y = [tex]\frac{4}{3}[/tex] x + 1
Step 2 :
To find the y intercept.
At the point of y - intercept, that is when the line touches the y axis, the x co ordinate = 0
So substituting x = 0 in the line's equation, we have
y = 0 + 1 = 1
y = 1
Step 3 :
Answer :
The y intercept is at y = 1
