Question

Question What is the equation of this line? Responses y=−2x+23 y equals negative 2 x plus fraction 2 over 3 end fraction y=23x−2 y equals fraction 2 over 3 end fraction x minus 2 y=−2x+32 y equals negative 2 x plus fraction 3 over 2 end fraction y=32x−2 y equals fraction 3 over 2 end fraction x minus 2 The graph of a line on a coordinate plane. The x and y axis ranges from negative 5 to 5 in increments of 1. A line passes through begin ordered pair 0 comma negative 2 end ordered pair and begin ordered pair 3 comma 0 end ordered pair.

Answer 1

The equation of the line passing through the points (0, -2) and (3, 0) can be found using the slope-intercept form of a linear equation, which is y = mx + b. Step 1: Find the slope (m) The slope (m) can be found using the formula: m = (y2 - y1) / (x2 - x1) Let's use the points (0, -2) and (3, 0) to find the slope: m = (0 - (-2)) / (3 - 0) m = 2 / 3 Step 2: Find the y-intercept (b) To find the y-intercept (b), we can substitute the coordinates of one of the points into the equation and solve for b. Using the point (0, -2): -2 = (2/3)(0) + b -2 = b Step 3: Write the equation Now that we have the slope (m = 2/3) and the y-intercept (b = -2), we can write the equation: y = (2/3)x - 2 So, the equation of the line passing through the points (0, -2) and (3, 0) is y = (2/3)x - 2.

Explanation: