Question

Given the slope and point that passes through the line, write the equation in point-slope and slope-intercept forms.

through: (1,5), slope = 4

Answer 1

Step 1: Determine b using slope-intercept form*, the given point, and the given slope.

`5 = 4(1) + b\\\\5 = 4 + b\\\\1 = b`

Step 2: Use b and m (or slope) to write the equation of the line in point-slope form** and slope-intercept form*.

`y = 4x + 1\\\\y - 5 = 4(x - 1)`

*Slope-intercept form: y = mx + b

**Point-slope form: y - y₁ = m(x - x₁)