Final answer:
To convert the equation 15x - 7y = 49 into slope-intercept form, we need to isolate y on one side of the equation. The resulting equation will have the form y = mx + b, where m represents the slope and b represents the y-intercept. The slope-intercept form of the equation is y = (15/7)x - 7.
Step-by-step explanation:
To put the given equation 15x-7y=49 into slope-intercept form (y=mx+b), we need to isolate y on one side of the equation.
Step 1: Start with the original equation: 15x-7y=49
Step 2: Subtract 15x from both sides to move the x term: -7y=-15x+49
Step 3: Divide both sides by -7 to solve for y: y=(15/7)x-7
So the slope-intercept form of the equation is y=(15/7)x-7. In this form, the slope of the line is 15/7 and the y-intercept is -7.