Answer:
Step-by-step explanation:
y = -x + 7 is a linear equation in slope-intercept form, y = mx + b.
The slope (m) measures the unit changes in the output (y ) for each one-unit change in the input (x) value.
b = the y-ccordinate of the y-intercept, (0, b). The y-coordinate, b, is what you will use for the slope-intercept form. The y-intercept is the point on the line where it crosses the y-axis.
Graphing y = - x + 7:
To graph y = -x + 7, use the slope, m = -1 (down 1 unit, run 1 unit), and the y-intercept, (0,7) to plot points on the graph to connect a line with.
Vertical Line (Definition):
The equation, x = 3 represents a vertical line with an undefined slope. A vertical line has undefined slope because all points the line have the same x-coordinate. Since any two points on a vertical line have the same x-coordinate, slope cannot be computed as using the slope formula, m = (y₂ - y₁)/(x₂ - x₁), as it will involve a division by zero (which consitutes an undefined operation).
Graphing x = 3:
To graph x = 3, choose any point on the graph that has an x-coordinate of 3, then draw a vertical line from there.
The given equation has a solution that occurs at point (3, 4). Attached is an edited screenshot of the image that you uploaded.
