Question

Slope m=-2, point: (4,3)​

Answer 1

Answer:

The the linear equation in point-slope form is

$y-3 = -2 (x-4)$

Step-by-step explanation:

Given

• slope = m = -2

• point (4, 3)

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

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

Here:

• m is the slope

• (x₁, y₁) is the point

substituting the values m = -2 and the point (4, 3) in the point-slope form

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

$y-3 = -2 (x-4)$

Thus, the the linear equation in point-slope form is

$y-3 = -2 (x-4)$

Note: This equation could be further simplified to write it in the slope-intercept form

$y=mx+b$

where m is the slope and b is the y-intercept

so writing the equation in the slope-intercept form

$y-3 = -2 (x-4)$

$y-3 = -2x+8$

$y=-2x+8+3$

$y=-2x+11$

Thus, the equation is the slope-intercept form is

• $y=-2x+11$

Answer 2

Answer:

Step-by-step explanation:

(y - 3) = -2(x - 4)

y = -2x + 8 + 3

y = -2x + 11

pls give brainliest