Linear Functions Math Example 3

Follow the full solution, then compare it with the other examples linked below.

medium

Write the equation of a line with slope

3

that passes through

(1, 7)

1
Step 1: Use point-slope form: $y - y_1 = m(x - x_1)$ with $m = 3$ and $(x_1, y_1) = (1, 7)$ .
2
Step 2: Substitute: $y - 7 = 3(x - 1)$ .
3
Step 3: Expand and simplify: $y - 7 = 3x - 3$ , so $y = 3x + 4$ .
4
Check: At $x = 1$ : $y = 3(1) + 4 = 7$ ✓

Answer

y = 3x + 4

When given a slope and a point, use point-slope form

y - y_1 = m(x - x_1)

and simplify to slope-intercept form

y = mx + b

About Linear Functions

A function whose graph is a straight line, characterized by a constant rate of change between any two points.

Write the equation of a line with slope [formula] and [formula]-intercept [formula].

Find the equation of the line through [formula] and [formula].

What are the slope and [formula]-intercept of [formula]?

Convert [formula] to slope-intercept form.