Which graph displays the linear equation with a y -intercept of −3 and an ordered pair of (−1,−2) ?
The linear equation can be expressed in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept. Given that the y-intercept is -3, the equation is y = mx - 3.
To find the slope, m, we can use the ordered pair (-1, -2). The slope is calculated using the formula: m = (y₂ - y₁) / (x₂ - x₁). Substituting the values from the ordered pair, we get: m = (-2 - (-3)) / (-1 - 0) = 1 / 1 = 1.
Therefore, the linear equation with a y-intercept of -3 and an ordered pair of (-1, -2) can be written as y = x - 3.
The graph representing this linear equation is a straight line with a slope of 1 and a y-intercept of -3. The graph passes through the point (-1, -2). This line would extend infinitely in both directions.