How to find slope intercept form from point slope form

Asked by admin @ 28/10/2021 in Mathematics viewed by 337 People

Use point-slope form to write the equation of the line in slope-intercept form that passes through the points (0, -5) and (-3, 4).

Slope formula: m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction
Point-slope form: y – y1 = m(x – x1)
Slope-intercept form: y = mx + b
Choose the equation of the line.
y = –3x – 13
y = –3x – 5
y = –3x + 5
y = Negative one-third x + 13

Answered by admin @ 28/10/2021

The equation of a line can be written in either point-slope form or slope intercept form.

The equation of the line is: (b) $\mathbf{y = -3x-5}$

The points are given as:

$\mathbf{(x_1,y_1) = (0,-5)}$

$\mathbf{(x_2,y_2) = (-3,4)}$

Start by calculating the slope using:

$\mathbf{m = \frac{y_2 -y_1}{x_2 - x_1}}$

So, we have:

$\mathbf{m = \frac{4--5}{-3-0}}$

$\mathbf{m = \frac{9}{-3}}$

$\mathbf{m = -3}$

The point slope form of the equation is:

$\mathbf{y - y_1 = m(x - x_1)}$

So, we have:

$\mathbf{y - -5 = -3(x - 0)}$

$\mathbf{y +5 = -3x}$

Subtract 5 from both sides

$\mathbf{y = -3x-5}$

Hence, the equation of the line is: (b) $\mathbf{y = -3x-5}$

Read more about equations of lines at:

brainly.com/question/20632687

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