To find a perpendicular line you first need to see the equation in slope intercept form. To do that you need to solve for y.
2x - 5y = 20 ---> subtract 2x from both sides
-5y = -2x + 20 ---> divide by -5
y = 2/5x - 4
Now that you have this, note that a perpendicular line has opposite and reciprocal slope. Since the slope in our equation is 2/5, that means the new line will have -5/2 slope. So we use the point given and the slope to find the y intercept.
y = mx + b
-8 = -5/2(7) + b ---> multiply
-8 = -35/2 + b ---> add 35/2 to both sides
19/2 = b
Now use our new slope and new y intercept to write the new equation.
y = -5/2x + 19/2
Answer: y = 3/8 x + 17/8
Step-by-step explanation:
Point-Slope Form: y - y₁ = m (x- x₁) Slope: Change in y/Change in x
(-3,1) and (5,4) are the coordinates given. 4 - 1 / 5 - ( - 3)
Slope Intercept Form: y =mx + b <em> </em><em><u>3 / 8 </u></em> <em>( - ) ( - ) = +</em>
Write in point slope: | Using (-3, 1) |
y - 1 = 3/8 ( x - ( -3 ) )
y - 1 = 3/8 ( x + 3)
y - 1 = 3/8 <em>x</em> + 9/8
y - 8/8 = 3/8 x + 9/8
y = 3/8 x + 17/8
Answer:
750'0000
Step-by-step explanation: