Answer:
[tex]\textsf{C.} \quad y=2x-5[/tex]
Step-by-step explanation:
Slope-intercept form of a linear equation
[tex]y=mx+b[/tex]
where:
- m is the slope.
- b is the y-intercept.
Given:
- slope (m) = 2
- point on the line = (4, 3)
Substitute the given values into the formula and solve for b:
[tex]\implies 3=2(4)+b[/tex]
[tex]\implies 3=8+b[/tex]
[tex]\implies 3-8=8+b-8[/tex]
[tex]\implies b=-5[/tex]
Substitute the given slope and the found value of b into the formula to create an equation of a line that passes through (4, 3) and has a slope of 2:
[tex]\implies y=2x-5[/tex]
Learn more about slope-intercept form here:
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