Question

Write the slope-intercept form of the equation for the line passing through the point (5,5) and having slope 3/5. ______ Lower case y and no spaces. Write your fraction as a/b.

Answer 1

The slope-intercept form of the equation for the line passing through the point (5,5) and having slope 3/5 is y = (3/5)x + 2.

Step-by-step explanation:

The slope-intercept form of the equation for a line is given by y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the slope is 3/5 and the line passes through the point (5,5). So, we can replace the values of m and the coordinates of the point in the equation:

y = (3/5)x + b

5 = (3/5)(5) + b

5 = 3 + b

b = 2

Therefore, the slope-intercept form of the equation for the line passing through the point (5,5) and having slope 3/5 is y = (3/5)x + 2.