Instructions: Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slope-Intercept form. State the slope and y𝑦-intercept.(3,0)(3,0) and (4,4)(4,4)Equation: Slope: y𝑦-Intercept:
Question
Instructions: Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slope-Intercept form. State the slope and y𝑦-intercept.(3,0)(3,0) and (4,4)(4,4)Equation: Slope: y𝑦-Intercept:
Solution
Step 1: Find the slope (m) between the two points using the formula m = (y2 - y1) / (x2 - x1).
Substitute the given points into the formula: m = (4 - 0) / (4 - 3) = 4
Step 2: Use the slope (m = 4) and one of the points (I'll use (3,0)) to write the equation of the line in slope-intercept form (y = mx + b).
Substitute m = 4 and the point (3,0) into the equation: 0 = 4*3 + b Solve for b: b = -12
Step 3: Write the final equation of the line using the slope (m = 4) and y-intercept (b = -12).
The equation of the line is y = 4x - 12.
So, the slope is 4 and the y-intercept is -12.
Similar Questions
Write the point-slope form of the given line that passes through the points (0, 3) and (4, 0). Identify (x1, y1) as the x-intercept of the line. Include your work in your final answer. Type your answer in the box provided to submit your solution.
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