what is the equation in slope-intercept form of 7x+2y=10
2 y = -7 x + 10
y = -(7/2) x + 5
To find the equation in slope-intercept form, we need to rewrite the given equation, 7x + 2y = 10, in the form y = mx + b, where m is the slope and b is the y-intercept.
Step 1: Move the term containing x to the other side of the equation.
7x + 2y = 10
Subtract 7x from both sides to isolate the term containing y.
2y = -7x + 10
Step 2: Divide both sides of the equation by 2 to solve for y.
y = (-7/2)x + 5
Therefore, the equation in slope-intercept form is y = (-7/2)x + 5. The slope of the line is -7/2, and the y-intercept is 5.