Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

12. graph of a line on a coordinate plane with grid, axes labeled x and…

Question

  1. graph of a line on a coordinate plane with grid, axes labeled x and y, origin o, and several marked points on the line

Explanation:

Step1: Identify two points

Let's take two clear points on the line, e.g., \((0, -1)\) and \((1, 1)\) (or other visible points).

Step2: Calculate slope

Slope \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Using \((0, -1)\) and \((1, 1)\), \(m=\frac{1 - (-1)}{1 - 0}=\frac{2}{1}=2\).

Step3: Find y-intercept

From the point \((0, -1)\), the y-intercept \(b = -1\).

Step4: Write equation

The slope - intercept form is \(y = mx + b\), so \(y = 2x - 1\).

Answer:

The equation of the line is \(y = 2x - 1\) (assuming the task is to find the equation; if other task, adjust accordingly)