How to find slope of a line y mx b

Asked by admin @ 26/11/2021 in Mathematics viewed by 433 People

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is 4 and the line passes through the point (1,-8), which equation should he use to find the y-intercept and what is the y-intercept of the line?

Answered by admin @ 26/11/2021

Answer:

Equation to be used: Point- Slope form $y-y_1= m(x-x_1)$

y-intercept = - 12

Step-by-step explanation:

He should use point - slope form equation.

It is given that, line is passing through the points $(1,\: -8) = (x_1\:y_1)$ and has a slope m = 4.

The equation of line in point-slope form is given as:

$y-y_1= m(x-x_1)\\y-(-8) = 4(x-1)\\y+8 = 4x - 4\\y = 4x - 4 -8\\\huge\red{\boxed{y= 4x - 12}}...(1)\\Equating\: equation\: (1) \: with;\\y = mx + b \\y-intercept\: (b) = -12$

How to find slope of a line y mx b

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