Question

The line 8x - 4y = 7 correctly written in slope-intercept form is:

a) y = 2x + 7/4
b) y = 2x - 7/4
c) y = -2x + 7/4
d) y = -2x - 7/4

Answer 1

The correct slope-intercept form for the equation 8x - 4y = 7 is:

b) y = 2x - 7/4

Therefore, correxct answer is b) y = 2x - 7/4

Step-by-step explanation:

To transform the equation 8x - 4y = 7 into slope-intercept form y = mx + b, start by isolating y. Divide both sides by -4:

-4y = -8x + 7

Now, divide through by -4:

y = 2x - 7/4

So, the correct slope-intercept form is y = 2x - 7/4 The slope m is 2, and the y-intercept b) y = 2x - 7/4

Linear equations in slope-intercept form are widely used in mathematics and science to represent relationships between variables. Understanding how to convert equations between different forms is essential for solving problems involving lines and interpreting their properties.