Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation
(-2,3) ; y= 1/2x-1
a. y=1/2x+1
b. y=-2x-1
c. y=1/2x-1
d. y=-1/2x-1

parallel lines share the same slope, so if the equation is asking for a parallel line, your answer must have a slope that matches. choices B and D can be ruled out by that logic, as (-2) and (-1/2) aren't the same as your given slope: 1/2.

to find the line that passes through the point (-2, 3), you'll want to use point-slope form: y - y1 = m(x - x1). your given point is (x1, y1) and your slope is 1/2, so plug all of your info in:

y - 3 = (1/2)(x + 2)

now, you must convert this to slope-intercept, y = mx + b. the first step is to distribute the 1/2 into your parentheses.

y - 3 = 1/2x + 1
y - 3 = 1/2x + 1 ... to isolate y, add 3
y = 1/2x + 4 should be your answer, but i see that it isn't an answer choice. it might be a glitch or a typing error in your program; i looked over my work for errors and i can't find one? i think you should ask your teacher for clarification if possible, and if not, i would choose A or C to submit your work to the best of your ability.

I’m sorry i can’t u