The statement 'The equation of a line in slope intercept form is y=mx + b, where m is the y-intercept' is False.
What is line?
"It is a one-dimensional figure, which has length but no width."
What is slope?
- "It describes how steep a straight line is."
- "The slope of the line joining two points [tex](x_1,y_1),(x_2,y_2)[/tex] is, [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]"
What is y-intercept?
"The point at which the graph of the function intersects the y-axis."
For given question,
Consider a line passing through points (0, b) and (x, y)
As line is passing through point (0, b), this means the line intersects y-axis at point (0,b)
S0, the y-intercept = b
Let 'm' be the slope of the line.
Using slope formula,
[tex]\Rightarrow m=\frac{y-b}{x-0}\\\\\Rightarrow m=\frac{y-b}{x}\\\\ \Rightarrow mx=y-b\\\\\Rightarrow y=mx+b[/tex]
From above equation,
y = mx + b is the line having slope m and y - intercept b.
Therefore, the statement 'The equation of a line in slope intercept form is y=mx + b, where m is the y-intercept' is False.
Learn more about slope-intercept form of the line here:
https://brainly.com/question/12763756
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