Question

Write an equation of the line that passes through a pair of points:

(-3,-1), (2, 2)
y = 3/5 x - 5/4
y = 3/5 x + 4/5
y=3/5 x -4/5
y=-3/5 x + 4/5

Answer 1

The equation is y=⅗x+⅘

Explanation:

Greetings!

First,find the slope of the two pts.

• . m=(y₂-y₁)/(x₂-x₁).. substitute values
• m=(2-(-1))/(2-(-3)... substraction and simplify
• m=⅗... value of m

Secondly, apply the equation formula Which is

• y=mx+b

So, we have to solve for b using one of the two points that are given let's just take the second point (2,2) and solve for b.

• y=mx+b
• 2=⅗(2)+b...substitute given values
• 2=6/5+b...solve for b subtract 6/5 from both sides
• 2-6/5=6/5-6/5+b
• ⅘=b

Finally, substitute all the values on y=mx+b

Thus, y=⅗x+⅘.