Converting Equations to Slope-Intercept Form
The instructions in the image ask to write the equations in "k-form" by solving for y. "K-form" usually refers to the slope-intercept form of a linear equation, which is:
y = kx + m
where k is the slope and m is the y-intercept. In this context, we need to express each equation with y isolated on one side. Let's do this for each equation:
a) y - 5x = 3
To solve for y, simply add 5x to both sides:
y = 5x + 3
b) 7x + y + 4 = 0
To solve for y, subtract 7x and 4 from both sides:
y = -7x - 4
c) 5y = 15x + 10
To solve for y, divide all terms by 5:
y = 3x + 2
d) 2x - y = 9
To solve for y, add y to both sides and then subtract 9 from both sides:
2x = y + 9
y = 2x - 9
Now each equation is in the slope-intercept form, with y isolated on one side.
