Question

1. Write the equation for a line in point slope form that had a slope of 4 and passes through (1,1)

Answer 1

Solution:

Note that:

• Slope = m = 4
• Given point: (x₁,y₁) = (1,1) [x₁ = 1; y₁ = 1]
• Formula: y - y₁ = m(x - x₁)

Use the formula to convert the line in point slope form.

• y - y₁ = m(x - x₁)
• y - 1 = 4(x - 1)

The equation of the line (In point slope form) is y - 1 = 4(x - 1).

Answer 2

• (1,1)
• m=4

$\\ \tt\longmapsto y-y_1=m(x-x_1)$

$\\ \tt\longmapsto y-1=4(x-1)$

$\\ \tt\longmapsto y-1=4x-4$

Extra shots

Standard form

$\\ \tt\longmapsto 4x-y-3=0$

Slope intercept form

$\\ \tt\longmapsto y=4x+3$