If the line y = mx + c passes through the point (1, 2), what is the value of c w

If the line y = mx + c passes through the point (1, 2), what is the value of c when m = 3? (2023)

If the line y = mx + c passes through the point (1, 2), what is the value of c when m = 3? (2023)

Step 1: Identify the equation of the line, which is y = mx + c.
Step 2: Substitute the value of m (which is 3) into the equation. Now the equation looks like y = 3x + c.
Step 3: We know the line passes through the point (1, 2). This means when x = 1, y = 2.
Step 4: Substitute x = 1 and y = 2 into the equation: 2 = 3(1) + c.
Step 5: Calculate 3(1), which equals 3. Now the equation is 2 = 3 + c.
Step 6: To find c, rearrange the equation: c = 2 - 3.
Step 7: Calculate 2 - 3, which equals -1. So, c = -1.

Linear Equations – Understanding the equation of a line in slope-intercept form (y = mx + c) and how to find the y-intercept (c) when given a point and the slope (m).