MATH SOLVE

4 months ago

Q:
# You are given a line that has a slope of 4 and passed through the point (3/8, 1/2). Which statements about the question of the line are true ? Check all that apply

Accepted Solution

A:

Answer:Statement 1, 2 and 4 are true where as statement 3 is not true.Step-by-step explanation:Statement 1: The y-intercept is -1Point (3/8, 1/2)Slope = m = 4y = mx + c1/2 = 4(3/8) + c1/2 = 3/2 + c1/2 = 3/2 + 2c/2-2 = 2cc = -1 This statement is true as the y-intercept is -1.Statement 2: The slope intercept equation is y= 4x - 1slope = m = 4y-intercept = c = -1y = mx + cy = 4x - 1This statement is true as the slope intercept equation is y= 4x -1Statement 3: The point slope equation is y - 3/8 = 4 (x - 1/2)Point slope equation: y - y1 = m (x - x1)Points: (x, y) (3/8, 1/2)y1 = 1/2x1 = 3/8Slope = m = 4y - 1/2 = 4 (x - 3/8)This statement is not true as the slope intercept equation is y - 1/2 = 4 (x - 3/8) instead of y - 3/8 = 4 (x - 1/2).Statement 4: The point (3/8, 1/2) corresponds to (x1, y1) in the point slope form of the equationThis statement is true as shown in statement 3's explanation where x1 = 3/8 and y1 = 1/2!!