Answer:
y = 5x + 17
Last choice
Step-by-step explanation:
The equation for a line can be written in the form y = mx + b. (This is called slope-intercept form).
"x" and "y" mean points on the line.
"m" means the slope of the line, which is how steep the line is.
"b" means the y-intercept, which is when the line hits the y-axis.
To write an equation in slope-intercept form, we need the slope and y-intercept.
We know the slope needs to be 5.
m = 5
We know one point on the line, (-4, -3). Points are written (x, y), so:
x = -4
y = -3
Substitute the numbers we know for "m", "x" and "y" into the equation for a line. Then, we can isolate 'b' to know what it equals.
y = mx + b
-3 = (5)(-4) + b Multiply to simplify
-3 = -20 + b Start isolating 'b'
-3 + 20 = -20 + 20 + b Add 20 to both sides to cancel out on the right.
-3 + 20 = b Solve the left side.
17 = b Answer
b = 17 Put variable on left side for standard formatting
Now that we know m = 5 and b = 17, rewrite the equation in the form y = mx + b.
y = 5x + 17
