Question

Finding the slope and y-int e d the y-intercept and the slope -3x+8y=4 ite your answers in simplest forn y-intercept:

Answer 1

To find the slope and y-intercept of the equation -3x+8y=4, it must be rearranged to the slope-intercept form y = a + bx, resulting in a slope of 3/8 and a y-intercept of 1/2.

Step-by-step explanation:

To find the slope and y-intercept of the line represented by the equation -3x+8y=4, we must first rearrange the equation into the slope-intercept form, which is y = a + bx. In this form, a represents the y-intercept and b represents the slope. Let's solve the equation:

• Add 3x to both sides to get 8y = 3x + 4.
• Divide every term by 8 to get y = (3/8)x + 1/2.

Now we have the equation in slope-intercept form, and we can clearly see that the slope is 3/8 and the y-intercept (a) is 1/2.