Question - Converting Equations to Slope-Intercept Form
Solution:
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 + mwhere 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 = 3To solve for y, simply add 5x to both sides:y = 5x + 3b) 7x + y + 4 = 0To solve for y, subtract 7x and 4 from both sides:y = -7x - 4c) 5y = 15x + 10To solve for y, divide all terms by 5:y = 3x + 2d) 2x - y = 9To solve for y, add y to both sides and then subtract 9 from both sides:2x = y + 9y = 2x - 9Now each equation is in the slope-intercept form, with y isolated on one side.
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