Answer:y = -7/2x + 3/2
Step-by-step explanation:To convert the linear equation 7x + 2y - 3 = 0 from standard form to y-intercept form (slope-intercept form), you need to solve for y.
1. Begin with the equation 7x + 2y - 3 = 0.
2. Move the term 7x to the other side of the equation by subtracting 7x from both sides:
2y = -7x + 3
3. Divide the entire equation by 2 to isolate y:
y = -7/2x + 3/2
Therefore, the linear equation 7x + 2y - 3 = 0 in standard form is equivalent to y = -7/2x + 3/2 in y-intercept form. This form shows that the slope of the line is -7/2 and the y-intercept is at 3/2.
