Question

Find the equation of the line that passes through the points (-4,-2) and (-3,5) in both point-slope form and

slope-intercept form.

Answer 1

First, we must determine the slope, then we find the y-intercept using slope formula and slope-intercept form.

For slope:

`m = (5 + 2)/(-3 + 4) = (7)/(1) = 7`

Slope (m) = 7

For y-intercept:

`5 = 7(-3) + b\\\\5 = -21 + b\\\\26 = b`

Y-intercept (b) = 26

Using this information, we can now create the equations for this line.

`y= 7x + 26\\\\y - 5 = 7(x + 3)`

Formulas:

Slope formula: y₂ - y₁/x₂ - x₁

Slope-intercept form: y = mx + b

Point-slope form: y - y₁ = m(x - x₁)

*Note: (x₁, y₁), (x₂, y₂) = 2 points on the line