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