Final answer:
To convert the equations to slope-intercept format, solve for y to get y = mx + b. The first equation 2x + y = -7 becomes y = -2x - 7, and the second equation 5x + 2y = 12 becomes y = - (5/2)x + 6.
Step-by-step explanation:
To put each equation in slope-intercept format, we must solve for y, so that each equation has the form y = mx + b, where m represents the slope and b represents the y-intercept. Let's do this step by step for each equation:
2x + y = -7:
First, subtract 2x from both sides to isolate y: y = -2x - 7
5x + 2y = 12:
First, subtract 5x from both sides to get 2y on one side: 2y = -5x + 12
Then, divide each term by 2 to solve for y: y = - (5/2)x + 6
The slope-intercept form for the first equation is y = -2x - 7 with a slope of -2 and a y-intercept of -7.
For the second equation, the slope-intercept form is y = - (5/2)x + 6 with a slope of - (5/2) and a y-intercept of 6.