Question

A line passes through the points and . What is the slope of the line that passes through the two points?

Answer 1

\[slope = \frac{ y_2 - y_1 }{ x_2 - x_1 }\]

So you have 2 points

(-10 , -4) and (-1 , 2)
(x1 , y1) (x2 , y2)

plug in those points into that equation so you have

\[slope = \frac{ 2 + 4 }{ -1 + 10 }\]

What does that simplify to...?

Answer 2

thank you so much

Answer 3

No problem!

Answer 4

A line passes through the points(_10,-4) and (-1,2)


What is the y-intercept of the line?

Answer 5

So for this one....you find the slope (as you just did) and you should have gotten

2/3

This is your slope...now you can put that into the slope intercept formula to solve for your y-intercept.....you can pick either point you have ...lets choose (-1,2)

remember this is (x,y)

so we have the formula

y = mx + b

m = slope = 2/3
y = your y-value = 2
x = your x-value = -1
b = your y-intercept

so

2 = 2/3(-1) + b

Can you solve this for 'b' ...?

Answer 6

so does b = 1