The slope-intercept form of the equation of a line is given by y = mx + b, where m is the slope and b is the y-intercept.
For the equation y - 4 = 5(x + 2), we can first distribute the 5 to get y - 4 = 5x + 10. Then, we can rearrange the equation to isolate y by adding 4 to both sides: y = 5x + 10 + 4. Simplifying further, we have y = 5x + 14. Therefore, the slope-intercept form of this line is y = 5x + 14.
For the equation 8x - 7y = 17, we need to solve for y. First, we can move the 8x term to the other side of the equation by subtracting 8x from both sides: -7y = -8x + 17. Then, we can divide every term in the equation by -7 to solve for y: y = (-8/-7)x + 17/-7. Simplifying further, we have y = 8/7x - 17/7. Therefore, the slope-intercept form of this line is y = 8/7x - 17/7.
Write the slope- intercept form of the equation of each line:
y - 4 = 5(x + 2)
8x - 7y = 17
3 answers
simply ver
For the equation y - 4 = 5(x + 2), the slope-intercept form is y = 5x + 14.
For the equation 8x - 7y = 17, the slope-intercept form is y = 8/7x - 17/7.
For the equation 8x - 7y = 17, the slope-intercept form is y = 8/7x - 17/7.