Question

a line with a slope of 3 passes through the point located at (-1,-3). select two more points on this line and have interger coordinates

Answer 1

Step-by-step explanation

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

m = slope = 3

Point = (x₁, y₁) = (-1, -3)

x₁ = -1

y₁ = -3

y - y₁ = m (x - x₁)

y - (-3) = 3 (x - (-1))

y + 3 = 3 (x + 1)

y + 3 = 3x + 3

y = 3x + 3 - 3

y = 3x

So, we can easily find points on this line by inserting values for x and solving for y

if x = 1

y = 3x

y = 3 (1)

y = 3

First point = (1, 3)

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