Question

Write the slope intercept form of the equation of the line through the given point with the given slope. Through (-5 -2) slope -3/5.

Write the slope intercept form of the equation of the line through the given pointS
Through (2 -1) and (5,5)

Answer 1

#1

Equation in point slope form

• y-y_1=m(x-x_1)
• y+2=-3/5(x+5)
• y=-3/5x-3-2
• y=-3/5x-5

That's also slope intercept form

#2

Slope

• m=(5+1)/5-2)
• m=6/3
• m=2

Equation in point slope

• y+1=2(x-2)
• y+1=2x-4
• y=2x-5

Answer 2

1. y = -3/5 × -5 - 2
2. y = 2 × -1 + 2

Explanation:

#1

1. y = mx + b
2. m = -3/5, x = -5, b = -2, y = y
3. put in correct order

#2

1. (2, -1) - (5,5) = 6/3 = 2/1 = 2 (remember, y is over x. The formula is y2 - y1 / x2 - x1)
2. Pick either point given (2, -1) or (5, 5)
3. Plug the point in
4. y = y, m = 2, x = 2, b = -1
5. Put in order