Question

Convert y = -2x +5 to point slope form

Answer 1

Answer:

Converting y = -2x +5 to point-slope form will be:

• $y - 5 = -2(x-0)$

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

where

• m is the slope

• b is the y-intercept

Given the equation

$y = -2x +5$

comparing with the  slope-intercept form

Slope of the line = m = -2

The y-intercept b = 5

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

Thus, the ordered pair or point representing the y-intercept will be:

• (0, 5)

Now, we have

• The slope = m = -2

• The point = (0, 5)

Now, using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where

• m is the slope of the line

• (x₁, y₁) is the point

substituting the values m = -2 and the point (x₁, y₁) = (0, 5)

$y-y_1=m\left(x-x_1\right)$

$y - 5 = -2(x-0)$

Therefore, converting y = -2x +5 to point-slope form will be:

• $y - 5 = -2(x-0)$