Question

Determine the slope ,m, and y-intercept b of a line that passes through the points (-2,6) and (4,-3)

Answer 1

The slope and y-intercept of the line that passes through the points (-2,6) and (4,-3) are - 3 / 2 and 3 respectively.

How to find the slope and y-intercept of a line?

The equation of a line in slope intercept form can be represented as follows:

y = mx + b

where

• m = slope

• b = y-intercept

Therefore, the slope of the line is the change in the independent variable with respect to the change in the dependent variable.

Therefore,

using (-2, 6)(4, -3)

m = slope = -3 - 6 / 4 + 2

slope = - 9 / 6

slope = - 3 / 2

Therefore, the y-intercept of the line can be found using (4, -3)

-3 = - 3 / 2(4) + b

-3 = -6 + b

b = -3 + 6

b = 3

Therefore, the y-intercept is 3

learn more on equation of a line here: brainly.com/question/28883396

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